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Finding the Fourth Proportional to 11,238.57, 16,861.41 and 3,843.07

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Solution

The fourth proportional to 11,238.57, 16,861.41 and 3,843.07 is: 5,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.57 : 16,861.41 = 3,843.07 : x
  2. Step 2: Convert to fraction form
    11,238.57/16,861.41 = 3,843.07/x
  3. Step 3: Cross multiply
    11,238.57x = 16,861.41 × 3,843.07
  4. Step 4: Simplify right side
    11,238.57x = 64,799,536.78
  5. Step 5: Solve for x
    x = 64,799,536.78/11,238.57
  6. Step 6: Final answer
    x = 5,765.82

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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.