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Finding the Fourth Proportional to 11,472.52, 15,832.22 and 6,437.82

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Solution

The fourth proportional to 11,472.52, 15,832.22 and 6,437.82 is: 8,884.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.52 : 15,832.22 = 6,437.82 : x
  2. Step 2: Convert to fraction form
    11,472.52/15,832.22 = 6,437.82/x
  3. Step 3: Cross multiply
    11,472.52x = 15,832.22 × 6,437.82
  4. Step 4: Simplify right side
    11,472.52x = 101,924,982.56
  5. Step 5: Solve for x
    x = 101,924,982.56/11,472.52
  6. Step 6: Final answer
    x = 8,884.27

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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.