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Finding the Fourth Proportional to 27,708.75, 41,563.13 and 6,932.25

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Solution

The fourth proportional to 27,708.75, 41,563.13 and 6,932.25 is: 10,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708.75 : 41,563.13 = 6,932.25 : x
  2. Step 2: Convert to fraction form
    27,708.75/41,563.13 = 6,932.25/x
  3. Step 3: Cross multiply
    27,708.75x = 41,563.13 × 6,932.25
  4. Step 4: Simplify right side
    27,708.75x = 288,125,973.28
  5. Step 5: Solve for x
    x = 288,125,973.28/27,708.75
  6. Step 6: Final answer
    x = 10,398.38

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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.