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Finding the Fourth Proportional to 8,286.82, 12,433.26 and 3,846.60

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Solution

The fourth proportional to 8,286.82, 12,433.26 and 3,846.60 is: 5,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.82 : 12,433.26 = 3,846.60 : x
  2. Step 2: Convert to fraction form
    8,286.82/12,433.26 = 3,846.60/x
  3. Step 3: Cross multiply
    8,286.82x = 12,433.26 × 3,846.60
  4. Step 4: Simplify right side
    8,286.82x = 47,825,777.92
  5. Step 5: Solve for x
    x = 47,825,777.92/8,286.82
  6. Step 6: Final answer
    x = 5,771.31

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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.