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Finding the Fourth Proportional to 10,691.60, 14,754.86 and 5,975.88

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Solution

The fourth proportional to 10,691.60, 14,754.86 and 5,975.88 is: 8,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.60 : 14,754.86 = 5,975.88 : x
  2. Step 2: Convert to fraction form
    10,691.60/14,754.86 = 5,975.88/x
  3. Step 3: Cross multiply
    10,691.60x = 14,754.86 × 5,975.88
  4. Step 4: Simplify right side
    10,691.60x = 88,173,169.12
  5. Step 5: Solve for x
    x = 88,173,169.12/10,691.60
  6. Step 6: Final answer
    x = 8,246.96

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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.