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Finding the Fourth Proportional to 7,951.72, 10,973 and 4,414.92

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Solution

The fourth proportional to 7,951.72, 10,973 and 4,414.92 is: 6,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.72 : 10,973 = 4,414.92 : x
  2. Step 2: Convert to fraction form
    7,951.72/10,973 = 4,414.92/x
  3. Step 3: Cross multiply
    7,951.72x = 10,973 × 4,414.92
  4. Step 4: Simplify right side
    7,951.72x = 48,444,917.16
  5. Step 5: Solve for x
    x = 48,444,917.16/7,951.72
  6. Step 6: Final answer
    x = 6,092.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.