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Finding the Fourth Proportional to 10,691.38, 14,754.44 and 5,975.65

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Solution

The fourth proportional to 10,691.38, 14,754.44 and 5,975.65 is: 8,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.38 : 14,754.44 = 5,975.65 : x
  2. Step 2: Convert to fraction form
    10,691.38/14,754.44 = 5,975.65/x
  3. Step 3: Cross multiply
    10,691.38x = 14,754.44 × 5,975.65
  4. Step 4: Simplify right side
    10,691.38x = 88,167,265.74
  5. Step 5: Solve for x
    x = 88,167,265.74/10,691.38
  6. Step 6: Final answer
    x = 8,246.58

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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.