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Finding the Fourth Proportional to 27,863.07, 41,794.07 and 6,803.25

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Solution

The fourth proportional to 27,863.07, 41,794.07 and 6,803.25 is: 10,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863.07 : 41,794.07 = 6,803.25 : x
  2. Step 2: Convert to fraction form
    27,863.07/41,794.07 = 6,803.25/x
  3. Step 3: Cross multiply
    27,863.07x = 41,794.07 × 6,803.25
  4. Step 4: Simplify right side
    27,863.07x = 284,335,472.71
  5. Step 5: Solve for x
    x = 284,335,472.71/27,863.07
  6. Step 6: Final answer
    x = 10,204.74

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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.