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Finding the Fourth Proportional to 8,039.86, 12,059.79 and 3,658.57

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Solution

The fourth proportional to 8,039.86, 12,059.79 and 3,658.57 is: 5,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.86 : 12,059.79 = 3,658.57 : x
  2. Step 2: Convert to fraction form
    8,039.86/12,059.79 = 3,658.57/x
  3. Step 3: Cross multiply
    8,039.86x = 12,059.79 × 3,658.57
  4. Step 4: Simplify right side
    8,039.86x = 44,121,542.03
  5. Step 5: Solve for x
    x = 44,121,542.03/8,039.86
  6. Step 6: Final answer
    x = 5,487.85

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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.