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Finding the Fourth Proportional to 27,511.96, 41,268.08 and 6,735.48

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Solution

The fourth proportional to 27,511.96, 41,268.08 and 6,735.48 is: 10,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.96 : 41,268.08 = 6,735.48 : x
  2. Step 2: Convert to fraction form
    27,511.96/41,268.08 = 6,735.48/x
  3. Step 3: Cross multiply
    27,511.96x = 41,268.08 × 6,735.48
  4. Step 4: Simplify right side
    27,511.96x = 277,960,327.48
  5. Step 5: Solve for x
    x = 277,960,327.48/27,511.96
  6. Step 6: Final answer
    x = 10,103.25

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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.