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Finding the Fourth Proportional to 11,759.14, 17,641.32 and 3,967.78

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Solution

The fourth proportional to 11,759.14, 17,641.32 and 3,967.78 is: 5,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.14 : 17,641.32 = 3,967.78 : x
  2. Step 2: Convert to fraction form
    11,759.14/17,641.32 = 3,967.78/x
  3. Step 3: Cross multiply
    11,759.14x = 17,641.32 × 3,967.78
  4. Step 4: Simplify right side
    11,759.14x = 69,996,876.67
  5. Step 5: Solve for x
    x = 69,996,876.67/11,759.14
  6. Step 6: Final answer
    x = 5,952.55

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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.