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Finding the Fourth Proportional to 8,229.93, 12,346.43 and 2,684.85

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Solution

The fourth proportional to 8,229.93, 12,346.43 and 2,684.85 is: 4,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.93 : 12,346.43 = 2,684.85 : x
  2. Step 2: Convert to fraction form
    8,229.93/12,346.43 = 2,684.85/x
  3. Step 3: Cross multiply
    8,229.93x = 12,346.43 × 2,684.85
  4. Step 4: Simplify right side
    8,229.93x = 33,148,252.86
  5. Step 5: Solve for x
    x = 33,148,252.86/8,229.93
  6. Step 6: Final answer
    x = 4,027.77

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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.