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Finding the Fourth Proportional to 10,691.11, 14,744.18 and 6,712.59

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Solution

The fourth proportional to 10,691.11, 14,744.18 and 6,712.59 is: 9,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.11 : 14,744.18 = 6,712.59 : x
  2. Step 2: Convert to fraction form
    10,691.11/14,744.18 = 6,712.59/x
  3. Step 3: Cross multiply
    10,691.11x = 14,744.18 × 6,712.59
  4. Step 4: Simplify right side
    10,691.11x = 98,971,601.66
  5. Step 5: Solve for x
    x = 98,971,601.66/10,691.11
  6. Step 6: Final answer
    x = 9,257.38

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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.