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Finding the Fourth Proportional to 11,201.76, 16,805.52 and 4,272.48

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Solution

The fourth proportional to 11,201.76, 16,805.52 and 4,272.48 is: 6,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.76 : 16,805.52 = 4,272.48 : x
  2. Step 2: Convert to fraction form
    11,201.76/16,805.52 = 4,272.48/x
  3. Step 3: Cross multiply
    11,201.76x = 16,805.52 × 4,272.48
  4. Step 4: Simplify right side
    11,201.76x = 71,801,248.09
  5. Step 5: Solve for x
    x = 71,801,248.09/11,201.76
  6. Step 6: Final answer
    x = 6,409.82

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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.