To solve the equation:

\[
\frac{8}{57} = \frac{11}{x}
\]

We can use cross multiplication to find \( x \).

\[
8x = 57 \times 11
\]

Now calculate:

\[
8x = 627
\]

To isolate \( x \), divide both sides by 8:

\[
x = \frac{627}{8} = 78.375
\]

So, \( x = 78.375 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you solve proportions involving fractions?
2. What is cross multiplication and when is it useful?
3. How do you handle non-integer solutions in proportions?
4. What are some common mistakes when solving for unknowns in fractions?
5. How can you check if a proportion is correct?

**Tip:** Always simplify your fractions if possible before solving, it can make calculations easier!

Learn how to solve the proportion 8/57 = 11/x using cross multiplication. This example demonstrates key mathematical concepts in proportions, and how to apply cross multiplication to find unknown values. Suitable for students in Grades 6-8.

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