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Finding the Fourth Proportional to 8,230.77, 12,337.38 and 3,293.55

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Solution

The fourth proportional to 8,230.77, 12,337.38 and 3,293.55 is: 4,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.77 : 12,337.38 = 3,293.55 : x
  2. Step 2: Convert to fraction form
    8,230.77/12,337.38 = 3,293.55/x
  3. Step 3: Cross multiply
    8,230.77x = 12,337.38 × 3,293.55
  4. Step 4: Simplify right side
    8,230.77x = 40,633,777.90
  5. Step 5: Solve for x
    x = 40,633,777.90/8,230.77
  6. Step 6: Final answer
    x = 4,936.81

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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.