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Finding the Fourth Proportional to 8,227.62, 12,338.03 and 3,161.05

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Solution

The fourth proportional to 8,227.62, 12,338.03 and 3,161.05 is: 4,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.62 : 12,338.03 = 3,161.05 : x
  2. Step 2: Convert to fraction form
    8,227.62/12,338.03 = 3,161.05/x
  3. Step 3: Cross multiply
    8,227.62x = 12,338.03 × 3,161.05
  4. Step 4: Simplify right side
    8,227.62x = 39,001,068.04
  5. Step 5: Solve for x
    x = 39,001,068.04/8,227.62
  6. Step 6: Final answer
    x = 4,740.26

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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.