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Finding the Fourth Proportional to 10,186.76, 15,279.92 and 2,791.04

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Solution

The fourth proportional to 10,186.76, 15,279.92 and 2,791.04 is: 4,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.76 : 15,279.92 = 2,791.04 : x
  2. Step 2: Convert to fraction form
    10,186.76/15,279.92 = 2,791.04/x
  3. Step 3: Cross multiply
    10,186.76x = 15,279.92 × 2,791.04
  4. Step 4: Simplify right side
    10,186.76x = 42,646,867.92
  5. Step 5: Solve for x
    x = 42,646,867.92/10,186.76
  6. Step 6: Final answer
    x = 4,186.50

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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.