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Finding the Fourth Proportional to 8,112.14, 12,169.85 and 3,432.14

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Solution

The fourth proportional to 8,112.14, 12,169.85 and 3,432.14 is: 5,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.14 : 12,169.85 = 3,432.14 : x
  2. Step 2: Convert to fraction form
    8,112.14/12,169.85 = 3,432.14/x
  3. Step 3: Cross multiply
    8,112.14x = 12,169.85 × 3,432.14
  4. Step 4: Simplify right side
    8,112.14x = 41,768,550.97
  5. Step 5: Solve for x
    x = 41,768,550.97/8,112.14
  6. Step 6: Final answer
    x = 5,148.90

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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.