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Finding the Fourth Proportional to 8,109.27, 12,162.85 and 2,563.17

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Solution

The fourth proportional to 8,109.27, 12,162.85 and 2,563.17 is: 3,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.27 : 12,162.85 = 2,563.17 : x
  2. Step 2: Convert to fraction form
    8,109.27/12,162.85 = 2,563.17/x
  3. Step 3: Cross multiply
    8,109.27x = 12,162.85 × 2,563.17
  4. Step 4: Simplify right side
    8,109.27x = 31,175,483.05
  5. Step 5: Solve for x
    x = 31,175,483.05/8,109.27
  6. Step 6: Final answer
    x = 3,844.43

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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.