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Finding the Fourth Proportional to 27,863.91, 41,795.72 and 6,804.07

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Solution

The fourth proportional to 27,863.91, 41,795.72 and 6,804.07 is: 10,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863.91 : 41,795.72 = 6,804.07 : x
  2. Step 2: Convert to fraction form
    27,863.91/41,795.72 = 6,804.07/x
  3. Step 3: Cross multiply
    27,863.91x = 41,795.72 × 6,804.07
  4. Step 4: Simplify right side
    27,863.91x = 284,380,891.59
  5. Step 5: Solve for x
    x = 284,380,891.59/27,863.91
  6. Step 6: Final answer
    x = 10,206.07

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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.