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Finding the Fourth Proportional to 11,272.88, 16,907.16 and 3,481.76

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Solution

The fourth proportional to 11,272.88, 16,907.16 and 3,481.76 is: 5,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.88 : 16,907.16 = 3,481.76 : x
  2. Step 2: Convert to fraction form
    11,272.88/16,907.16 = 3,481.76/x
  3. Step 3: Cross multiply
    11,272.88x = 16,907.16 × 3,481.76
  4. Step 4: Simplify right side
    11,272.88x = 58,866,673.40
  5. Step 5: Solve for x
    x = 58,866,673.40/11,272.88
  6. Step 6: Final answer
    x = 5,221.97

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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.