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Finding the Fourth Proportional to 7,956.97, 11,935.70 and 3,797.42

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Solution

The fourth proportional to 7,956.97, 11,935.70 and 3,797.42 is: 5,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.97 : 11,935.70 = 3,797.42 : x
  2. Step 2: Convert to fraction form
    7,956.97/11,935.70 = 3,797.42/x
  3. Step 3: Cross multiply
    7,956.97x = 11,935.70 × 3,797.42
  4. Step 4: Simplify right side
    7,956.97x = 45,324,846.91
  5. Step 5: Solve for x
    x = 45,324,846.91/7,956.97
  6. Step 6: Final answer
    x = 5,696.24

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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.