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Finding the Fourth Proportional to 11,471.31, 17,213.23 and 4,451.60

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Solution

The fourth proportional to 11,471.31, 17,213.23 and 4,451.60 is: 6,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.31 : 17,213.23 = 4,451.60 : x
  2. Step 2: Convert to fraction form
    11,471.31/17,213.23 = 4,451.60/x
  3. Step 3: Cross multiply
    11,471.31x = 17,213.23 × 4,451.60
  4. Step 4: Simplify right side
    11,471.31x = 76,626,358.09
  5. Step 5: Solve for x
    x = 76,626,358.09/11,471.31
  6. Step 6: Final answer
    x = 6,679.83

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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.