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Finding the Fourth Proportional to 8,078.26, 12,122.24 and 3,461.26

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Solution

The fourth proportional to 8,078.26, 12,122.24 and 3,461.26 is: 5,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.26 : 12,122.24 = 3,461.26 : x
  2. Step 2: Convert to fraction form
    8,078.26/12,122.24 = 3,461.26/x
  3. Step 3: Cross multiply
    8,078.26x = 12,122.24 × 3,461.26
  4. Step 4: Simplify right side
    8,078.26x = 41,958,224.42
  5. Step 5: Solve for x
    x = 41,958,224.42/8,078.26
  6. Step 6: Final answer
    x = 5,193.97

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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.