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Finding the Fourth Proportional to 11,993.40, 17,989.83 and 3,228.42

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Solution

The fourth proportional to 11,993.40, 17,989.83 and 3,228.42 is: 4,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.40 : 17,989.83 = 3,228.42 : x
  2. Step 2: Convert to fraction form
    11,993.40/17,989.83 = 3,228.42/x
  3. Step 3: Cross multiply
    11,993.40x = 17,989.83 × 3,228.42
  4. Step 4: Simplify right side
    11,993.40x = 58,078,726.97
  5. Step 5: Solve for x
    x = 58,078,726.97/11,993.40
  6. Step 6: Final answer
    x = 4,842.56

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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.