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Finding the Fourth Proportional to 8,123.83, 12,187.46 and 2,576.44

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Solution

The fourth proportional to 8,123.83, 12,187.46 and 2,576.44 is: 3,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.83 : 12,187.46 = 2,576.44 : x
  2. Step 2: Convert to fraction form
    8,123.83/12,187.46 = 2,576.44/x
  3. Step 3: Cross multiply
    8,123.83x = 12,187.46 × 2,576.44
  4. Step 4: Simplify right side
    8,123.83x = 31,400,281.12
  5. Step 5: Solve for x
    x = 31,400,281.12/8,123.83
  6. Step 6: Final answer
    x = 3,865.21

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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.