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Finding the Fourth Proportional to 27,634.29, 41,451.98 and 6,857.25

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Solution

The fourth proportional to 27,634.29, 41,451.98 and 6,857.25 is: 10,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.29 : 41,451.98 = 6,857.25 : x
  2. Step 2: Convert to fraction form
    27,634.29/41,451.98 = 6,857.25/x
  3. Step 3: Cross multiply
    27,634.29x = 41,451.98 × 6,857.25
  4. Step 4: Simplify right side
    27,634.29x = 284,246,555.57
  5. Step 5: Solve for x
    x = 284,246,555.57/27,634.29
  6. Step 6: Final answer
    x = 10,286.01

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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.