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Finding the Fourth Proportional to 10,672.38, 14,731.91 and 8,397.82

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Solution

The fourth proportional to 10,672.38, 14,731.91 and 8,397.82 is: 11,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.38 : 14,731.91 = 8,397.82 : x
  2. Step 2: Convert to fraction form
    10,672.38/14,731.91 = 8,397.82/x
  3. Step 3: Cross multiply
    10,672.38x = 14,731.91 × 8,397.82
  4. Step 4: Simplify right side
    10,672.38x = 123,715,928.44
  5. Step 5: Solve for x
    x = 123,715,928.44/10,672.38
  6. Step 6: Final answer
    x = 11,592.16

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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.