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Finding the Fourth Proportional to 10,282.59, 15,414.54 and 3,704.10

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Solution

The fourth proportional to 10,282.59, 15,414.54 and 3,704.10 is: 5,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.59 : 15,414.54 = 3,704.10 : x
  2. Step 2: Convert to fraction form
    10,282.59/15,414.54 = 3,704.10/x
  3. Step 3: Cross multiply
    10,282.59x = 15,414.54 × 3,704.10
  4. Step 4: Simplify right side
    10,282.59x = 57,096,997.61
  5. Step 5: Solve for x
    x = 57,096,997.61/10,282.59
  6. Step 6: Final answer
    x = 5,552.78

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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.