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Finding the Fourth Proportional to 8,109.09, 12,162.24 and 2,264.31

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Solution

The fourth proportional to 8,109.09, 12,162.24 and 2,264.31 is: 3,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.09 : 12,162.24 = 2,264.31 : x
  2. Step 2: Convert to fraction form
    8,109.09/12,162.24 = 2,264.31/x
  3. Step 3: Cross multiply
    8,109.09x = 12,162.24 × 2,264.31
  4. Step 4: Simplify right side
    8,109.09x = 27,539,081.65
  5. Step 5: Solve for x
    x = 27,539,081.65/8,109.09
  6. Step 6: Final answer
    x = 3,396.08

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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.