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Finding the Fourth Proportional to 8,144.39, 12,218.90 and 4,198.54

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Solution

The fourth proportional to 8,144.39, 12,218.90 and 4,198.54 is: 6,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.39 : 12,218.90 = 4,198.54 : x
  2. Step 2: Convert to fraction form
    8,144.39/12,218.90 = 4,198.54/x
  3. Step 3: Cross multiply
    8,144.39x = 12,218.90 × 4,198.54
  4. Step 4: Simplify right side
    8,144.39x = 51,301,519.41
  5. Step 5: Solve for x
    x = 51,301,519.41/8,144.39
  6. Step 6: Final answer
    x = 6,299.00

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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.