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Finding the Fourth Proportional to 11,471.20, 17,204.91 and 3,679

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Solution

The fourth proportional to 11,471.20, 17,204.91 and 3,679 is: 5,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.20 : 17,204.91 = 3,679 : x
  2. Step 2: Convert to fraction form
    11,471.20/17,204.91 = 3,679/x
  3. Step 3: Cross multiply
    11,471.20x = 17,204.91 × 3,679
  4. Step 4: Simplify right side
    11,471.20x = 63,296,863.89
  5. Step 5: Solve for x
    x = 63,296,863.89/11,471.20
  6. Step 6: Final answer
    x = 5,517.89

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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.