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Finding the Fourth Proportional to 10,414.68, 15,624.42 and 3,489

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Solution

The fourth proportional to 10,414.68, 15,624.42 and 3,489 is: 5,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.68 : 15,624.42 = 3,489 : x
  2. Step 2: Convert to fraction form
    10,414.68/15,624.42 = 3,489/x
  3. Step 3: Cross multiply
    10,414.68x = 15,624.42 × 3,489
  4. Step 4: Simplify right side
    10,414.68x = 54,513,601.38
  5. Step 5: Solve for x
    x = 54,513,601.38/10,414.68
  6. Step 6: Final answer
    x = 5,234.30

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