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Finding the Fourth Proportional to 8,380.75, 11,587.05 and 8,013.55

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Solution

The fourth proportional to 8,380.75, 11,587.05 and 8,013.55 is: 11,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.75 : 11,587.05 = 8,013.55 : x
  2. Step 2: Convert to fraction form
    8,380.75/11,587.05 = 8,013.55/x
  3. Step 3: Cross multiply
    8,380.75x = 11,587.05 × 8,013.55
  4. Step 4: Simplify right side
    8,380.75x = 92,853,404.53
  5. Step 5: Solve for x
    x = 92,853,404.53/8,380.75
  6. Step 6: Final answer
    x = 11,079.37

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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.