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Finding the Fourth Proportional to 8,123.68, 12,183.09 and 2,576.80

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Solution

The fourth proportional to 8,123.68, 12,183.09 and 2,576.80 is: 3,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.68 : 12,183.09 = 2,576.80 : x
  2. Step 2: Convert to fraction form
    8,123.68/12,183.09 = 2,576.80/x
  3. Step 3: Cross multiply
    8,123.68x = 12,183.09 × 2,576.80
  4. Step 4: Simplify right side
    8,123.68x = 31,393,386.31
  5. Step 5: Solve for x
    x = 31,393,386.31/8,123.68
  6. Step 6: Final answer
    x = 3,864.43

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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.