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Finding the Fourth Proportional to 8,386.38, 12,576.42 and 2,461.32

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Solution

The fourth proportional to 8,386.38, 12,576.42 and 2,461.32 is: 3,691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.38 : 12,576.42 = 2,461.32 : x
  2. Step 2: Convert to fraction form
    8,386.38/12,576.42 = 2,461.32/x
  3. Step 3: Cross multiply
    8,386.38x = 12,576.42 × 2,461.32
  4. Step 4: Simplify right side
    8,386.38x = 30,954,594.07
  5. Step 5: Solve for x
    x = 30,954,594.07/8,386.38
  6. Step 6: Final answer
    x = 3,691.06

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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.