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Finding the Fourth Proportional to 27,906.83, 41,859.92 and 6,846.66

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Solution

The fourth proportional to 27,906.83, 41,859.92 and 6,846.66 is: 10,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.83 : 41,859.92 = 6,846.66 : x
  2. Step 2: Convert to fraction form
    27,906.83/41,859.92 = 6,846.66/x
  3. Step 3: Cross multiply
    27,906.83x = 41,859.92 × 6,846.66
  4. Step 4: Simplify right side
    27,906.83x = 286,600,605.63
  5. Step 5: Solve for x
    x = 286,600,605.63/27,906.83
  6. Step 6: Final answer
    x = 10,269.91

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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.