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Finding the Fourth Proportional to 8,112.66, 12,170.61 and 3,432.66

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Solution

The fourth proportional to 8,112.66, 12,170.61 and 3,432.66 is: 5,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.66 : 12,170.61 = 3,432.66 : x
  2. Step 2: Convert to fraction form
    8,112.66/12,170.61 = 3,432.66/x
  3. Step 3: Cross multiply
    8,112.66x = 12,170.61 × 3,432.66
  4. Step 4: Simplify right side
    8,112.66x = 41,777,566.12
  5. Step 5: Solve for x
    x = 41,777,566.12/8,112.66
  6. Step 6: Final answer
    x = 5,149.68

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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.