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Finding the Fourth Proportional to 11,761.65, 17,638.21 and 3,439.48

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Solution

The fourth proportional to 11,761.65, 17,638.21 and 3,439.48 is: 5,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.65 : 17,638.21 = 3,439.48 : x
  2. Step 2: Convert to fraction form
    11,761.65/17,638.21 = 3,439.48/x
  3. Step 3: Cross multiply
    11,761.65x = 17,638.21 × 3,439.48
  4. Step 4: Simplify right side
    11,761.65x = 60,666,270.53
  5. Step 5: Solve for x
    x = 60,666,270.53/11,761.65
  6. Step 6: Final answer
    x = 5,157.97

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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.