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Finding the Fourth Proportional to 11,471.68, 17,213.79 and 4,451.97

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Solution

The fourth proportional to 11,471.68, 17,213.79 and 4,451.97 is: 6,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.68 : 17,213.79 = 4,451.97 : x
  2. Step 2: Convert to fraction form
    11,471.68/17,213.79 = 4,451.97/x
  3. Step 3: Cross multiply
    11,471.68x = 17,213.79 × 4,451.97
  4. Step 4: Simplify right side
    11,471.68x = 76,635,357.91
  5. Step 5: Solve for x
    x = 76,635,357.91/11,471.68
  6. Step 6: Final answer
    x = 6,680.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.