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Finding the Fourth Proportional to 8,229.57, 12,343.08 and 2,682.90

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Solution

The fourth proportional to 8,229.57, 12,343.08 and 2,682.90 is: 4,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.57 : 12,343.08 = 2,682.90 : x
  2. Step 2: Convert to fraction form
    8,229.57/12,343.08 = 2,682.90/x
  3. Step 3: Cross multiply
    8,229.57x = 12,343.08 × 2,682.90
  4. Step 4: Simplify right side
    8,229.57x = 33,115,187.62
  5. Step 5: Solve for x
    x = 33,115,187.62/8,229.57
  6. Step 6: Final answer
    x = 4,023.93

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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.