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Finding the Fourth Proportional to 8,716.71, 13,074.85 and 2,476.71

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Solution

The fourth proportional to 8,716.71, 13,074.85 and 2,476.71 is: 3,715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.71 : 13,074.85 = 2,476.71 : x
  2. Step 2: Convert to fraction form
    8,716.71/13,074.85 = 2,476.71/x
  3. Step 3: Cross multiply
    8,716.71x = 13,074.85 × 2,476.71
  4. Step 4: Simplify right side
    8,716.71x = 32,382,614.84
  5. Step 5: Solve for x
    x = 32,382,614.84/8,716.71
  6. Step 6: Final answer
    x = 3,715.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.