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Finding the Fourth Proportional to 7,896.17, 11,843.74 and 2,965.38

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Solution

The fourth proportional to 7,896.17, 11,843.74 and 2,965.38 is: 4,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.17 : 11,843.74 = 2,965.38 : x
  2. Step 2: Convert to fraction form
    7,896.17/11,843.74 = 2,965.38/x
  3. Step 3: Cross multiply
    7,896.17x = 11,843.74 × 2,965.38
  4. Step 4: Simplify right side
    7,896.17x = 35,121,189.72
  5. Step 5: Solve for x
    x = 35,121,189.72/7,896.17
  6. Step 6: Final answer
    x = 4,447.88

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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.