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Finding the Fourth Proportional to 8,109.96, 12,163.18 and 2,186.68

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Solution

The fourth proportional to 8,109.96, 12,163.18 and 2,186.68 is: 3,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.96 : 12,163.18 = 2,186.68 : x
  2. Step 2: Convert to fraction form
    8,109.96/12,163.18 = 2,186.68/x
  3. Step 3: Cross multiply
    8,109.96x = 12,163.18 × 2,186.68
  4. Step 4: Simplify right side
    8,109.96x = 26,596,982.44
  5. Step 5: Solve for x
    x = 26,596,982.44/8,109.96
  6. Step 6: Final answer
    x = 3,279.55

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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.