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Finding the Fourth Proportional to 8,183.87, 12,274.20 and 3,186.26

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Solution

The fourth proportional to 8,183.87, 12,274.20 and 3,186.26 is: 4,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.87 : 12,274.20 = 3,186.26 : x
  2. Step 2: Convert to fraction form
    8,183.87/12,274.20 = 3,186.26/x
  3. Step 3: Cross multiply
    8,183.87x = 12,274.20 × 3,186.26
  4. Step 4: Simplify right side
    8,183.87x = 39,108,731.12
  5. Step 5: Solve for x
    x = 39,108,731.12/8,183.87
  6. Step 6: Final answer
    x = 4,778.76

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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.