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Finding the Fourth Proportional to 10,691.88, 14,753.99 and 5,975.25

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Solution

The fourth proportional to 10,691.88, 14,753.99 and 5,975.25 is: 8,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.88 : 14,753.99 = 5,975.25 : x
  2. Step 2: Convert to fraction form
    10,691.88/14,753.99 = 5,975.25/x
  3. Step 3: Cross multiply
    10,691.88x = 14,753.99 × 5,975.25
  4. Step 4: Simplify right side
    10,691.88x = 88,158,748.87
  5. Step 5: Solve for x
    x = 88,158,748.87/10,691.88
  6. Step 6: Final answer
    x = 8,245.39

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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.