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Finding the Fourth Proportional to 11,759.14, 17,638.26 and 3,967.84

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Solution

The fourth proportional to 11,759.14, 17,638.26 and 3,967.84 is: 5,951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.14 : 17,638.26 = 3,967.84 : x
  2. Step 2: Convert to fraction form
    11,759.14/17,638.26 = 3,967.84/x
  3. Step 3: Cross multiply
    11,759.14x = 17,638.26 × 3,967.84
  4. Step 4: Simplify right side
    11,759.14x = 69,985,793.56
  5. Step 5: Solve for x
    x = 69,985,793.56/11,759.14
  6. Step 6: Final answer
    x = 5,951.61

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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.