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Finding the Fourth Proportional to 8,194.26, 12,291.38 and 2,038.26

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Solution

The fourth proportional to 8,194.26, 12,291.38 and 2,038.26 is: 3,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.26 : 12,291.38 = 2,038.26 : x
  2. Step 2: Convert to fraction form
    8,194.26/12,291.38 = 2,038.26/x
  3. Step 3: Cross multiply
    8,194.26x = 12,291.38 × 2,038.26
  4. Step 4: Simplify right side
    8,194.26x = 25,053,028.20
  5. Step 5: Solve for x
    x = 25,053,028.20/8,194.26
  6. Step 6: Final answer
    x = 3,057.39

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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.