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Finding the Fourth Proportional to 11,743.60, 17,616.92 and 3,843.40

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Solution

The fourth proportional to 11,743.60, 17,616.92 and 3,843.40 is: 5,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.60 : 17,616.92 = 3,843.40 : x
  2. Step 2: Convert to fraction form
    11,743.60/17,616.92 = 3,843.40/x
  3. Step 3: Cross multiply
    11,743.60x = 17,616.92 × 3,843.40
  4. Step 4: Simplify right side
    11,743.60x = 67,708,870.33
  5. Step 5: Solve for x
    x = 67,708,870.33/11,743.60
  6. Step 6: Final answer
    x = 5,765.60

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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.