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Finding the Fourth Proportional to 27,843.08, 41,766.64 and 7,855.52

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Solution

The fourth proportional to 27,843.08, 41,766.64 and 7,855.52 is: 11,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.08 : 41,766.64 = 7,855.52 : x
  2. Step 2: Convert to fraction form
    27,843.08/41,766.64 = 7,855.52/x
  3. Step 3: Cross multiply
    27,843.08x = 41,766.64 × 7,855.52
  4. Step 4: Simplify right side
    27,843.08x = 328,098,675.85
  5. Step 5: Solve for x
    x = 328,098,675.85/27,843.08
  6. Step 6: Final answer
    x = 11,783.85

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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.