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Finding the Fourth Proportional to 11,993.40, 17,990.12 and 3,229.20

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Solution

The fourth proportional to 11,993.40, 17,990.12 and 3,229.20 is: 4,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.40 : 17,990.12 = 3,229.20 : x
  2. Step 2: Convert to fraction form
    11,993.40/17,990.12 = 3,229.20/x
  3. Step 3: Cross multiply
    11,993.40x = 17,990.12 × 3,229.20
  4. Step 4: Simplify right side
    11,993.40x = 58,093,695.50
  5. Step 5: Solve for x
    x = 58,093,695.50/11,993.40
  6. Step 6: Final answer
    x = 4,843.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.