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Finding the Fourth Proportional to 6,871.26, 10,308.42 and 2,191.53

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Solution

The fourth proportional to 6,871.26, 10,308.42 and 2,191.53 is: 3,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.26 : 10,308.42 = 2,191.53 : x
  2. Step 2: Convert to fraction form
    6,871.26/10,308.42 = 2,191.53/x
  3. Step 3: Cross multiply
    6,871.26x = 10,308.42 × 2,191.53
  4. Step 4: Simplify right side
    6,871.26x = 22,591,211.68
  5. Step 5: Solve for x
    x = 22,591,211.68/6,871.26
  6. Step 6: Final answer
    x = 3,287.78

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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.