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Finding the Fourth Proportional to 8,072.76, 12,109.60 and 2,229.83

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Solution

The fourth proportional to 8,072.76, 12,109.60 and 2,229.83 is: 3,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.76 : 12,109.60 = 2,229.83 : x
  2. Step 2: Convert to fraction form
    8,072.76/12,109.60 = 2,229.83/x
  3. Step 3: Cross multiply
    8,072.76x = 12,109.60 × 2,229.83
  4. Step 4: Simplify right side
    8,072.76x = 27,002,337.02
  5. Step 5: Solve for x
    x = 27,002,337.02/8,072.76
  6. Step 6: Final answer
    x = 3,344.87

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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.