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Finding the Fourth Proportional to 10,452.72, 14,424.80 and 5,737.04

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Solution

The fourth proportional to 10,452.72, 14,424.80 and 5,737.04 is: 7,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.72 : 14,424.80 = 5,737.04 : x
  2. Step 2: Convert to fraction form
    10,452.72/14,424.80 = 5,737.04/x
  3. Step 3: Cross multiply
    10,452.72x = 14,424.80 × 5,737.04
  4. Step 4: Simplify right side
    10,452.72x = 82,755,654.59
  5. Step 5: Solve for x
    x = 82,755,654.59/10,452.72
  6. Step 6: Final answer
    x = 7,917.14

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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.