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Finding the Fourth Proportional to 7,951.42, 10,972.59 and 4,414.85

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Solution

The fourth proportional to 7,951.42, 10,972.59 and 4,414.85 is: 6,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.42 : 10,972.59 = 4,414.85 : x
  2. Step 2: Convert to fraction form
    7,951.42/10,972.59 = 4,414.85/x
  3. Step 3: Cross multiply
    7,951.42x = 10,972.59 × 4,414.85
  4. Step 4: Simplify right side
    7,951.42x = 48,442,382.83
  5. Step 5: Solve for x
    x = 48,442,382.83/7,951.42
  6. Step 6: Final answer
    x = 6,092.30

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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.