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Finding the Fourth Proportional to 8,144.54, 12,216.84 and 3,463.88

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Solution

The fourth proportional to 8,144.54, 12,216.84 and 3,463.88 is: 5,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.54 : 12,216.84 = 3,463.88 : x
  2. Step 2: Convert to fraction form
    8,144.54/12,216.84 = 3,463.88/x
  3. Step 3: Cross multiply
    8,144.54x = 12,216.84 × 3,463.88
  4. Step 4: Simplify right side
    8,144.54x = 42,317,667.74
  5. Step 5: Solve for x
    x = 42,317,667.74/8,144.54
  6. Step 6: Final answer
    x = 5,195.83

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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.