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Finding the Fourth Proportional to 8,224.85, 12,338.30 and 2,676.71

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Solution

The fourth proportional to 8,224.85, 12,338.30 and 2,676.71 is: 4,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.85 : 12,338.30 = 2,676.71 : x
  2. Step 2: Convert to fraction form
    8,224.85/12,338.30 = 2,676.71/x
  3. Step 3: Cross multiply
    8,224.85x = 12,338.30 × 2,676.71
  4. Step 4: Simplify right side
    8,224.85x = 33,025,975.92
  5. Step 5: Solve for x
    x = 33,025,975.92/8,224.85
  6. Step 6: Final answer
    x = 4,015.39

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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.