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Finding the Fourth Proportional to 11,947.78, 17,921.64 and 3,739.78

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Solution

The fourth proportional to 11,947.78, 17,921.64 and 3,739.78 is: 5,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.78 : 17,921.64 = 3,739.78 : x
  2. Step 2: Convert to fraction form
    11,947.78/17,921.64 = 3,739.78/x
  3. Step 3: Cross multiply
    11,947.78x = 17,921.64 × 3,739.78
  4. Step 4: Simplify right side
    11,947.78x = 67,022,990.84
  5. Step 5: Solve for x
    x = 67,022,990.84/11,947.78
  6. Step 6: Final answer
    x = 5,609.66

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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.