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Finding the Fourth Proportional to 11,201.36, 16,801.20 and 3,806

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Solution

The fourth proportional to 11,201.36, 16,801.20 and 3,806 is: 5,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.36 : 16,801.20 = 3,806 : x
  2. Step 2: Convert to fraction form
    11,201.36/16,801.20 = 3,806/x
  3. Step 3: Cross multiply
    11,201.36x = 16,801.20 × 3,806
  4. Step 4: Simplify right side
    11,201.36x = 63,945,367.20
  5. Step 5: Solve for x
    x = 63,945,367.20/11,201.36
  6. Step 6: Final answer
    x = 5,708.71

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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.