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Finding the Fourth Proportional to 8,543.43, 11,778.21 and 5,711.27

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Solution

The fourth proportional to 8,543.43, 11,778.21 and 5,711.27 is: 7,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.43 : 11,778.21 = 5,711.27 : x
  2. Step 2: Convert to fraction form
    8,543.43/11,778.21 = 5,711.27/x
  3. Step 3: Cross multiply
    8,543.43x = 11,778.21 × 5,711.27
  4. Step 4: Simplify right side
    8,543.43x = 67,268,478.54
  5. Step 5: Solve for x
    x = 67,268,478.54/8,543.43
  6. Step 6: Final answer
    x = 7,873.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.