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Finding the Fourth Proportional to 11,660.75, 17,493.62 and 3,763.71

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Solution

The fourth proportional to 11,660.75, 17,493.62 and 3,763.71 is: 5,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.75 : 17,493.62 = 3,763.71 : x
  2. Step 2: Convert to fraction form
    11,660.75/17,493.62 = 3,763.71/x
  3. Step 3: Cross multiply
    11,660.75x = 17,493.62 × 3,763.71
  4. Step 4: Simplify right side
    11,660.75x = 65,840,912.53
  5. Step 5: Solve for x
    x = 65,840,912.53/11,660.75
  6. Step 6: Final answer
    x = 5,646.37

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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.