To convert miles to feet, we use the conversion factor:

$1 \text{ mile} = 5280 \text{ feet}$

Now, to convert $7 \frac{3}{4}$ miles to feet:

1. First, convert the mixed number into an improper fraction: $7 \frac{3}{4} = \frac{7 \times 4 + 3}{4} = \frac{31}{4}$

2. Now, multiply the improper fraction by 5280 (the number of feet in 1 mile): $\frac{31}{4} \times 5280 = \frac{31 \times 5280}{4} = \frac{163680}{4} = 40920$

Thus, $7 \frac{3}{4}$ miles equals 40,920 feet.

Let me know if you'd like further details or have any questions!

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Here are some related questions:

1. How many feet are in 5 miles?
2. What is the conversion factor between kilometers and miles?
3. How do you convert miles to yards?
4. How do you convert feet to meters?
5. What is the value of 10 miles in inches?

Tip: When dealing with mixed numbers in conversions, it's often easier to convert the mixed number into an improper fraction before performing the calculation.