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Finding the Fourth Proportional to 8,149.28, 11,250.78 and 5,909

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Solution

The fourth proportional to 8,149.28, 11,250.78 and 5,909 is: 8,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.28 : 11,250.78 = 5,909 : x
  2. Step 2: Convert to fraction form
    8,149.28/11,250.78 = 5,909/x
  3. Step 3: Cross multiply
    8,149.28x = 11,250.78 × 5,909
  4. Step 4: Simplify right side
    8,149.28x = 66,480,859.02
  5. Step 5: Solve for x
    x = 66,480,859.02/8,149.28
  6. Step 6: Final answer
    x = 8,157.88

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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.