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Finding the Fourth Proportional to 8,431.97, 12,640.81 and 3,498.53

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Solution

The fourth proportional to 8,431.97, 12,640.81 and 3,498.53 is: 5,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.97 : 12,640.81 = 3,498.53 : x
  2. Step 2: Convert to fraction form
    8,431.97/12,640.81 = 3,498.53/x
  3. Step 3: Cross multiply
    8,431.97x = 12,640.81 × 3,498.53
  4. Step 4: Simplify right side
    8,431.97x = 44,224,253.01
  5. Step 5: Solve for x
    x = 44,224,253.01/8,431.97
  6. Step 6: Final answer
    x = 5,244.83

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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.