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Finding the Fourth Proportional to 8,112.52, 12,170.68 and 3,432.95

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Solution

The fourth proportional to 8,112.52, 12,170.68 and 3,432.95 is: 5,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.52 : 12,170.68 = 3,432.95 : x
  2. Step 2: Convert to fraction form
    8,112.52/12,170.68 = 3,432.95/x
  3. Step 3: Cross multiply
    8,112.52x = 12,170.68 × 3,432.95
  4. Step 4: Simplify right side
    8,112.52x = 41,781,335.91
  5. Step 5: Solve for x
    x = 41,781,335.91/8,112.52
  6. Step 6: Final answer
    x = 5,150.23

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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.