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Finding the Fourth Proportional to 8,134.11, 12,201.66 and 2,291.22

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Solution

The fourth proportional to 8,134.11, 12,201.66 and 2,291.22 is: 3,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.11 : 12,201.66 = 2,291.22 : x
  2. Step 2: Convert to fraction form
    8,134.11/12,201.66 = 2,291.22/x
  3. Step 3: Cross multiply
    8,134.11x = 12,201.66 × 2,291.22
  4. Step 4: Simplify right side
    8,134.11x = 27,956,687.43
  5. Step 5: Solve for x
    x = 27,956,687.43/8,134.11
  6. Step 6: Final answer
    x = 3,436.97

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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.