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Finding the Fourth Proportional to 8,279.91, 11,414.57 and 5,917.95

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Solution

The fourth proportional to 8,279.91, 11,414.57 and 5,917.95 is: 8,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.91 : 11,414.57 = 5,917.95 : x
  2. Step 2: Convert to fraction form
    8,279.91/11,414.57 = 5,917.95/x
  3. Step 3: Cross multiply
    8,279.91x = 11,414.57 × 5,917.95
  4. Step 4: Simplify right side
    8,279.91x = 67,550,824.94
  5. Step 5: Solve for x
    x = 67,550,824.94/8,279.91
  6. Step 6: Final answer
    x = 8,158.40

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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.