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Finding the Fourth Proportional to 5,711.39, 8,543.39 and 5,361.47

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Solution

The fourth proportional to 5,711.39, 8,543.39 and 5,361.47 is: 8,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.39 : 8,543.39 = 5,361.47 : x
  2. Step 2: Convert to fraction form
    5,711.39/8,543.39 = 5,361.47/x
  3. Step 3: Cross multiply
    5,711.39x = 8,543.39 × 5,361.47
  4. Step 4: Simplify right side
    5,711.39x = 45,805,121.85
  5. Step 5: Solve for x
    x = 45,805,121.85/5,711.39
  6. Step 6: Final answer
    x = 8,019.96

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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.