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Finding the Fourth Proportional to 10,715.88, 14,757.30 and 10,049.16

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Solution

The fourth proportional to 10,715.88, 14,757.30 and 10,049.16 is: 13,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.88 : 14,757.30 = 10,049.16 : x
  2. Step 2: Convert to fraction form
    10,715.88/14,757.30 = 10,049.16/x
  3. Step 3: Cross multiply
    10,715.88x = 14,757.30 × 10,049.16
  4. Step 4: Simplify right side
    10,715.88x = 148,298,468.87
  5. Step 5: Solve for x
    x = 148,298,468.87/10,715.88
  6. Step 6: Final answer
    x = 13,839.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.