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Finding the Fourth Proportional to 8,123.78, 12,183.80 and 2,576.09

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Solution

The fourth proportional to 8,123.78, 12,183.80 and 2,576.09 is: 3,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.78 : 12,183.80 = 2,576.09 : x
  2. Step 2: Convert to fraction form
    8,123.78/12,183.80 = 2,576.09/x
  3. Step 3: Cross multiply
    8,123.78x = 12,183.80 × 2,576.09
  4. Step 4: Simplify right side
    8,123.78x = 31,386,589.36
  5. Step 5: Solve for x
    x = 31,386,589.36/8,123.78
  6. Step 6: Final answer
    x = 3,863.54

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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.