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Finding the Fourth Proportional to 8,471.27, 12,707.31 and 4,092.41

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Solution

The fourth proportional to 8,471.27, 12,707.31 and 4,092.41 is: 6,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.27 : 12,707.31 = 4,092.41 : x
  2. Step 2: Convert to fraction form
    8,471.27/12,707.31 = 4,092.41/x
  3. Step 3: Cross multiply
    8,471.27x = 12,707.31 × 4,092.41
  4. Step 4: Simplify right side
    8,471.27x = 52,003,522.52
  5. Step 5: Solve for x
    x = 52,003,522.52/8,471.27
  6. Step 6: Final answer
    x = 6,138.81

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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.