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Finding the Fourth Proportional to 8,186.67, 12,270.39 and 3,794.88

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Solution

The fourth proportional to 8,186.67, 12,270.39 and 3,794.88 is: 5,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.67 : 12,270.39 = 3,794.88 : x
  2. Step 2: Convert to fraction form
    8,186.67/12,270.39 = 3,794.88/x
  3. Step 3: Cross multiply
    8,186.67x = 12,270.39 × 3,794.88
  4. Step 4: Simplify right side
    8,186.67x = 46,564,689.39
  5. Step 5: Solve for x
    x = 46,564,689.39/8,186.67
  6. Step 6: Final answer
    x = 5,687.87

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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.