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Finding the Fourth Proportional to 8,123.34, 12,184.92 and 2,576.68

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Solution

The fourth proportional to 8,123.34, 12,184.92 and 2,576.68 is: 3,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.34 : 12,184.92 = 2,576.68 : x
  2. Step 2: Convert to fraction form
    8,123.34/12,184.92 = 2,576.68/x
  3. Step 3: Cross multiply
    8,123.34x = 12,184.92 × 2,576.68
  4. Step 4: Simplify right side
    8,123.34x = 31,396,639.67
  5. Step 5: Solve for x
    x = 31,396,639.67/8,123.34
  6. Step 6: Final answer
    x = 3,864.99

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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.