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Finding the Fourth Proportional to 8,321.60, 12,391.82 and 8,229.57

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Solution

The fourth proportional to 8,321.60, 12,391.82 and 8,229.57 is: 12,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.60 : 12,391.82 = 8,229.57 : x
  2. Step 2: Convert to fraction form
    8,321.60/12,391.82 = 8,229.57/x
  3. Step 3: Cross multiply
    8,321.60x = 12,391.82 × 8,229.57
  4. Step 4: Simplify right side
    8,321.60x = 101,979,308.97
  5. Step 5: Solve for x
    x = 101,979,308.97/8,321.60
  6. Step 6: Final answer
    x = 12,254.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.