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Finding the Fourth Proportional to 7,951.59, 10,973.14 and 4,414.79

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Solution

The fourth proportional to 7,951.59, 10,973.14 and 4,414.79 is: 6,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.59 : 10,973.14 = 4,414.79 : x
  2. Step 2: Convert to fraction form
    7,951.59/10,973.14 = 4,414.79/x
  3. Step 3: Cross multiply
    7,951.59x = 10,973.14 × 4,414.79
  4. Step 4: Simplify right side
    7,951.59x = 48,444,125.14
  5. Step 5: Solve for x
    x = 48,444,125.14/7,951.59
  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.