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Finding the Fourth Proportional to 10,691.87, 14,752.26 and 6,441.80

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Solution

The fourth proportional to 10,691.87, 14,752.26 and 6,441.80 is: 8,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.87 : 14,752.26 = 6,441.80 : x
  2. Step 2: Convert to fraction form
    10,691.87/14,752.26 = 6,441.80/x
  3. Step 3: Cross multiply
    10,691.87x = 14,752.26 × 6,441.80
  4. Step 4: Simplify right side
    10,691.87x = 95,031,034.71
  5. Step 5: Solve for x
    x = 95,031,034.71/10,691.87
  6. Step 6: Final answer
    x = 8,888.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.