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Finding the Fourth Proportional to 27,906.84, 41,866.11 and 8,183.79

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Solution

The fourth proportional to 27,906.84, 41,866.11 and 8,183.79 is: 12,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.84 : 41,866.11 = 8,183.79 : x
  2. Step 2: Convert to fraction form
    27,906.84/41,866.11 = 8,183.79/x
  3. Step 3: Cross multiply
    27,906.84x = 41,866.11 × 8,183.79
  4. Step 4: Simplify right side
    27,906.84x = 342,623,452.36
  5. Step 5: Solve for x
    x = 342,623,452.36/27,906.84
  6. Step 6: Final answer
    x = 12,277.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.