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Finding the Fourth Proportional to 8,144.12, 12,209.98 and 4,449.48

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Solution

The fourth proportional to 8,144.12, 12,209.98 and 4,449.48 is: 6,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.12 : 12,209.98 = 4,449.48 : x
  2. Step 2: Convert to fraction form
    8,144.12/12,209.98 = 4,449.48/x
  3. Step 3: Cross multiply
    8,144.12x = 12,209.98 × 4,449.48
  4. Step 4: Simplify right side
    8,144.12x = 54,328,061.81
  5. Step 5: Solve for x
    x = 54,328,061.81/8,144.12
  6. Step 6: Final answer
    x = 6,670.83

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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.