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Finding the Fourth Proportional to 8,186.94, 12,277.37 and 5,568.68

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Solution

The fourth proportional to 8,186.94, 12,277.37 and 5,568.68 is: 8,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.94 : 12,277.37 = 5,568.68 : x
  2. Step 2: Convert to fraction form
    8,186.94/12,277.37 = 5,568.68/x
  3. Step 3: Cross multiply
    8,186.94x = 12,277.37 × 5,568.68
  4. Step 4: Simplify right side
    8,186.94x = 68,368,789.39
  5. Step 5: Solve for x
    x = 68,368,789.39/8,186.94
  6. Step 6: Final answer
    x = 8,350.96

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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.