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Finding the Fourth Proportional to 8,141.13, 12,203.17 and 3,761.46

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Solution

The fourth proportional to 8,141.13, 12,203.17 and 3,761.46 is: 5,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.13 : 12,203.17 = 3,761.46 : x
  2. Step 2: Convert to fraction form
    8,141.13/12,203.17 = 3,761.46/x
  3. Step 3: Cross multiply
    8,141.13x = 12,203.17 × 3,761.46
  4. Step 4: Simplify right side
    8,141.13x = 45,901,735.83
  5. Step 5: Solve for x
    x = 45,901,735.83/8,141.13
  6. Step 6: Final answer
    x = 5,638.25

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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.