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Finding the Fourth Proportional to 8,072.57, 12,109.54 and 2,229.18

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Solution

The fourth proportional to 8,072.57, 12,109.54 and 2,229.18 is: 3,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.57 : 12,109.54 = 2,229.18 : x
  2. Step 2: Convert to fraction form
    8,072.57/12,109.54 = 2,229.18/x
  3. Step 3: Cross multiply
    8,072.57x = 12,109.54 × 2,229.18
  4. Step 4: Simplify right side
    8,072.57x = 26,994,344.38
  5. Step 5: Solve for x
    x = 26,994,344.38/8,072.57
  6. Step 6: Final answer
    x = 3,343.96

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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.