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Finding the Fourth Proportional to 27,859.82, 41,789.19 and 6,800

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Solution

The fourth proportional to 27,859.82, 41,789.19 and 6,800 is: 10,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.82 : 41,789.19 = 6,800 : x
  2. Step 2: Convert to fraction form
    27,859.82/41,789.19 = 6,800/x
  3. Step 3: Cross multiply
    27,859.82x = 41,789.19 × 6,800
  4. Step 4: Simplify right side
    27,859.82x = 284,166,492
  5. Step 5: Solve for x
    x = 284,166,492/27,859.82
  6. Step 6: Final answer
    x = 10,199.87

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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.