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Finding the Fourth Proportional to 11,761.93, 17,638.98 and 3,442.42

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Solution

The fourth proportional to 11,761.93, 17,638.98 and 3,442.42 is: 5,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.93 : 17,638.98 = 3,442.42 : x
  2. Step 2: Convert to fraction form
    11,761.93/17,638.98 = 3,442.42/x
  3. Step 3: Cross multiply
    11,761.93x = 17,638.98 × 3,442.42
  4. Step 4: Simplify right side
    11,761.93x = 60,720,777.53
  5. Step 5: Solve for x
    x = 60,720,777.53/11,761.93
  6. Step 6: Final answer
    x = 5,162.48

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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.