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Finding the Fourth Proportional to 8,212.53, 12,319.20 and 3,999.65

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Solution

The fourth proportional to 8,212.53, 12,319.20 and 3,999.65 is: 5,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.53 : 12,319.20 = 3,999.65 : x
  2. Step 2: Convert to fraction form
    8,212.53/12,319.20 = 3,999.65/x
  3. Step 3: Cross multiply
    8,212.53x = 12,319.20 × 3,999.65
  4. Step 4: Simplify right side
    8,212.53x = 49,272,426.68
  5. Step 5: Solve for x
    x = 49,272,426.68/8,212.53
  6. Step 6: Final answer
    x = 5,999.66

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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.