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Finding the Fourth Proportional to 27,867.96, 41,801.78 and 6,808.12

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Solution

The fourth proportional to 27,867.96, 41,801.78 and 6,808.12 is: 10,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867.96 : 41,801.78 = 6,808.12 : x
  2. Step 2: Convert to fraction form
    27,867.96/41,801.78 = 6,808.12/x
  3. Step 3: Cross multiply
    27,867.96x = 41,801.78 × 6,808.12
  4. Step 4: Simplify right side
    27,867.96x = 284,591,534.45
  5. Step 5: Solve for x
    x = 284,591,534.45/27,867.96
  6. Step 6: Final answer
    x = 10,212.14

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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.