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Finding the Fourth Proportional to 11,422.68, 15,761.88 and 6,387.09

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Solution

The fourth proportional to 11,422.68, 15,761.88 and 6,387.09 is: 8,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.68 : 15,761.88 = 6,387.09 : x
  2. Step 2: Convert to fraction form
    11,422.68/15,761.88 = 6,387.09/x
  3. Step 3: Cross multiply
    11,422.68x = 15,761.88 × 6,387.09
  4. Step 4: Simplify right side
    11,422.68x = 100,672,546.13
  5. Step 5: Solve for x
    x = 100,672,546.13/11,422.68
  6. Step 6: Final answer
    x = 8,813.39

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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.