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Finding the Fourth Proportional to 6,737.52, 10,107.72 and 3,817.20

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Solution

The fourth proportional to 6,737.52, 10,107.72 and 3,817.20 is: 5,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.52 : 10,107.72 = 3,817.20 : x
  2. Step 2: Convert to fraction form
    6,737.52/10,107.72 = 3,817.20/x
  3. Step 3: Cross multiply
    6,737.52x = 10,107.72 × 3,817.20
  4. Step 4: Simplify right side
    6,737.52x = 38,583,188.78
  5. Step 5: Solve for x
    x = 38,583,188.78/6,737.52
  6. Step 6: Final answer
    x = 5,726.62

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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.