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Finding the Fourth Proportional to 8,414.88, 11,609.52 and 5,011.20

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Solution

The fourth proportional to 8,414.88, 11,609.52 and 5,011.20 is: 6,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.88 : 11,609.52 = 5,011.20 : x
  2. Step 2: Convert to fraction form
    8,414.88/11,609.52 = 5,011.20/x
  3. Step 3: Cross multiply
    8,414.88x = 11,609.52 × 5,011.20
  4. Step 4: Simplify right side
    8,414.88x = 58,177,626.62
  5. Step 5: Solve for x
    x = 58,177,626.62/8,414.88
  6. Step 6: Final answer
    x = 6,913.66

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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.