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Finding the Fourth Proportional to 8,384.61, 12,576.94 and 2,144.41

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Solution

The fourth proportional to 8,384.61, 12,576.94 and 2,144.41 is: 3,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.61 : 12,576.94 = 2,144.41 : x
  2. Step 2: Convert to fraction form
    8,384.61/12,576.94 = 2,144.41/x
  3. Step 3: Cross multiply
    8,384.61x = 12,576.94 × 2,144.41
  4. Step 4: Simplify right side
    8,384.61x = 26,970,079.10
  5. Step 5: Solve for x
    x = 26,970,079.10/8,384.61
  6. Step 6: Final answer
    x = 3,216.62

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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.