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Finding the Fourth Proportional to 27,584.48, 41,383.20 and 7,863.32

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Solution

The fourth proportional to 27,584.48, 41,383.20 and 7,863.32 is: 11,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.48 : 41,383.20 = 7,863.32 : x
  2. Step 2: Convert to fraction form
    27,584.48/41,383.20 = 7,863.32/x
  3. Step 3: Cross multiply
    27,584.48x = 41,383.20 × 7,863.32
  4. Step 4: Simplify right side
    27,584.48x = 325,409,344.22
  5. Step 5: Solve for x
    x = 325,409,344.22/27,584.48
  6. Step 6: Final answer
    x = 11,796.83

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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.