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Finding the Fourth Proportional to 11,760.82, 17,638.47 and 3,439.09

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Solution

The fourth proportional to 11,760.82, 17,638.47 and 3,439.09 is: 5,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.82 : 17,638.47 = 3,439.09 : x
  2. Step 2: Convert to fraction form
    11,760.82/17,638.47 = 3,439.09/x
  3. Step 3: Cross multiply
    11,760.82x = 17,638.47 × 3,439.09
  4. Step 4: Simplify right side
    11,760.82x = 60,660,285.79
  5. Step 5: Solve for x
    x = 60,660,285.79/11,760.82
  6. Step 6: Final answer
    x = 5,157.83

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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.