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Finding the Fourth Proportional to 8,382.29, 12,576.17 and 3,999.17

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Solution

The fourth proportional to 8,382.29, 12,576.17 and 3,999.17 is: 6,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.29 : 12,576.17 = 3,999.17 : x
  2. Step 2: Convert to fraction form
    8,382.29/12,576.17 = 3,999.17/x
  3. Step 3: Cross multiply
    8,382.29x = 12,576.17 × 3,999.17
  4. Step 4: Simplify right side
    8,382.29x = 50,294,283.22
  5. Step 5: Solve for x
    x = 50,294,283.22/8,382.29
  6. Step 6: Final answer
    x = 6,000.07

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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.