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Finding the Fourth Proportional to 8,077.92, 11,147.76 and 4,542.24

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Solution

The fourth proportional to 8,077.92, 11,147.76 and 4,542.24 is: 6,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.92 : 11,147.76 = 4,542.24 : x
  2. Step 2: Convert to fraction form
    8,077.92/11,147.76 = 4,542.24/x
  3. Step 3: Cross multiply
    8,077.92x = 11,147.76 × 4,542.24
  4. Step 4: Simplify right side
    8,077.92x = 50,635,801.38
  5. Step 5: Solve for x
    x = 50,635,801.38/8,077.92
  6. Step 6: Final answer
    x = 6,268.42

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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.