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Finding the Fourth Proportional to 8,142.30, 12,229.83 and 7,912.62

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Solution

The fourth proportional to 8,142.30, 12,229.83 and 7,912.62 is: 11,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.30 : 12,229.83 = 7,912.62 : x
  2. Step 2: Convert to fraction form
    8,142.30/12,229.83 = 7,912.62/x
  3. Step 3: Cross multiply
    8,142.30x = 12,229.83 × 7,912.62
  4. Step 4: Simplify right side
    8,142.30x = 96,769,997.45
  5. Step 5: Solve for x
    x = 96,769,997.45/8,142.30
  6. Step 6: Final answer
    x = 11,884.85

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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.