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Finding the Fourth Proportional to 11,149.52, 15,387.72 and 6,962

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Solution

The fourth proportional to 11,149.52, 15,387.72 and 6,962 is: 9,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.52 : 15,387.72 = 6,962 : x
  2. Step 2: Convert to fraction form
    11,149.52/15,387.72 = 6,962/x
  3. Step 3: Cross multiply
    11,149.52x = 15,387.72 × 6,962
  4. Step 4: Simplify right side
    11,149.52x = 107,129,306.64
  5. Step 5: Solve for x
    x = 107,129,306.64/11,149.52
  6. Step 6: Final answer
    x = 9,608.42

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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.