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Finding the Fourth Proportional to 8,387.70, 12,580.12 and 2,542.92

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Solution

The fourth proportional to 8,387.70, 12,580.12 and 2,542.92 is: 3,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.70 : 12,580.12 = 2,542.92 : x
  2. Step 2: Convert to fraction form
    8,387.70/12,580.12 = 2,542.92/x
  3. Step 3: Cross multiply
    8,387.70x = 12,580.12 × 2,542.92
  4. Step 4: Simplify right side
    8,387.70x = 31,990,238.75
  5. Step 5: Solve for x
    x = 31,990,238.75/8,387.70
  6. Step 6: Final answer
    x = 3,813.95

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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.