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Finding the Fourth Proportional to 8,737.24, 12,046.30 and 5,902.68

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Solution

The fourth proportional to 8,737.24, 12,046.30 and 5,902.68 is: 8,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.24 : 12,046.30 = 5,902.68 : x
  2. Step 2: Convert to fraction form
    8,737.24/12,046.30 = 5,902.68/x
  3. Step 3: Cross multiply
    8,737.24x = 12,046.30 × 5,902.68
  4. Step 4: Simplify right side
    8,737.24x = 71,105,454.08
  5. Step 5: Solve for x
    x = 71,105,454.08/8,737.24
  6. Step 6: Final answer
    x = 8,138.21

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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.