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Finding the Fourth Proportional to 27,783.09, 41,667.22 and 7,791.48

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Solution

The fourth proportional to 27,783.09, 41,667.22 and 7,791.48 is: 11,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.09 : 41,667.22 = 7,791.48 : x
  2. Step 2: Convert to fraction form
    27,783.09/41,667.22 = 7,791.48/x
  3. Step 3: Cross multiply
    27,783.09x = 41,667.22 × 7,791.48
  4. Step 4: Simplify right side
    27,783.09x = 324,649,311.29
  5. Step 5: Solve for x
    x = 324,649,311.29/27,783.09
  6. Step 6: Final answer
    x = 11,685.14

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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.