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Finding the Fourth Proportional to 27,511.92, 41,268.04 and 6,735.44

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Solution

The fourth proportional to 27,511.92, 41,268.04 and 6,735.44 is: 10,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.92 : 41,268.04 = 6,735.44 : x
  2. Step 2: Convert to fraction form
    27,511.92/41,268.04 = 6,735.44/x
  3. Step 3: Cross multiply
    27,511.92x = 41,268.04 × 6,735.44
  4. Step 4: Simplify right side
    27,511.92x = 277,958,407.34
  5. Step 5: Solve for x
    x = 277,958,407.34/27,511.92
  6. Step 6: Final answer
    x = 10,103.20

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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.