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Finding the Fourth Proportional to 8,231.78, 12,348.07 and 2,685.12

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Solution

The fourth proportional to 8,231.78, 12,348.07 and 2,685.12 is: 4,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.78 : 12,348.07 = 2,685.12 : x
  2. Step 2: Convert to fraction form
    8,231.78/12,348.07 = 2,685.12/x
  3. Step 3: Cross multiply
    8,231.78x = 12,348.07 × 2,685.12
  4. Step 4: Simplify right side
    8,231.78x = 33,156,049.72
  5. Step 5: Solve for x
    x = 33,156,049.72/8,231.78
  6. Step 6: Final answer
    x = 4,027.81

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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.