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Finding the Fourth Proportional to 8,227.13, 12,339.31 and 2,961.08

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Solution

The fourth proportional to 8,227.13, 12,339.31 and 2,961.08 is: 4,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.13 : 12,339.31 = 2,961.08 : x
  2. Step 2: Convert to fraction form
    8,227.13/12,339.31 = 2,961.08/x
  3. Step 3: Cross multiply
    8,227.13x = 12,339.31 × 2,961.08
  4. Step 4: Simplify right side
    8,227.13x = 36,537,684.05
  5. Step 5: Solve for x
    x = 36,537,684.05/8,227.13
  6. Step 6: Final answer
    x = 4,441.12

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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.