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Finding the Fourth Proportional to 8,114.80, 12,173.64 and 3,186.76

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Solution

The fourth proportional to 8,114.80, 12,173.64 and 3,186.76 is: 4,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.80 : 12,173.64 = 3,186.76 : x
  2. Step 2: Convert to fraction form
    8,114.80/12,173.64 = 3,186.76/x
  3. Step 3: Cross multiply
    8,114.80x = 12,173.64 × 3,186.76
  4. Step 4: Simplify right side
    8,114.80x = 38,794,469.01
  5. Step 5: Solve for x
    x = 38,794,469.01/8,114.80
  6. Step 6: Final answer
    x = 4,780.71

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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.