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Finding the Fourth Proportional to 10,691.68, 14,754.48 and 5,975.96

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Solution

The fourth proportional to 10,691.68, 14,754.48 and 5,975.96 is: 8,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.68 : 14,754.48 = 5,975.96 : x
  2. Step 2: Convert to fraction form
    10,691.68/14,754.48 = 5,975.96/x
  3. Step 3: Cross multiply
    10,691.68x = 14,754.48 × 5,975.96
  4. Step 4: Simplify right side
    10,691.68x = 88,172,182.30
  5. Step 5: Solve for x
    x = 88,172,182.30/10,691.68
  6. Step 6: Final answer
    x = 8,246.80

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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.