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Finding the Fourth Proportional to 8,121.48, 12,183.80 and 3,190.80

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Solution

The fourth proportional to 8,121.48, 12,183.80 and 3,190.80 is: 4,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.48 : 12,183.80 = 3,190.80 : x
  2. Step 2: Convert to fraction form
    8,121.48/12,183.80 = 3,190.80/x
  3. Step 3: Cross multiply
    8,121.48x = 12,183.80 × 3,190.80
  4. Step 4: Simplify right side
    8,121.48x = 38,876,069.04
  5. Step 5: Solve for x
    x = 38,876,069.04/8,121.48
  6. Step 6: Final answer
    x = 4,786.82

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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.