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Finding the Fourth Proportional to 8,183.39, 12,266.87 and 7,199.24

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Solution

The fourth proportional to 8,183.39, 12,266.87 and 7,199.24 is: 10,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.39 : 12,266.87 = 7,199.24 : x
  2. Step 2: Convert to fraction form
    8,183.39/12,266.87 = 7,199.24/x
  3. Step 3: Cross multiply
    8,183.39x = 12,266.87 × 7,199.24
  4. Step 4: Simplify right side
    8,183.39x = 88,312,043.85
  5. Step 5: Solve for x
    x = 88,312,043.85/8,183.39
  6. Step 6: Final answer
    x = 10,791.63

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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.