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Finding the Fourth Proportional to 11,227.65, 15,493.44 and 6,191.91

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Solution

The fourth proportional to 11,227.65, 15,493.44 and 6,191.91 is: 8,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.65 : 15,493.44 = 6,191.91 : x
  2. Step 2: Convert to fraction form
    11,227.65/15,493.44 = 6,191.91/x
  3. Step 3: Cross multiply
    11,227.65x = 15,493.44 × 6,191.91
  4. Step 4: Simplify right side
    11,227.65x = 95,933,917.80
  5. Step 5: Solve for x
    x = 95,933,917.80/11,227.65
  6. Step 6: Final answer
    x = 8,544.43

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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.