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Finding the Fourth Proportional to 7,956.85, 11,935.51 and 3,797.30

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Solution

The fourth proportional to 7,956.85, 11,935.51 and 3,797.30 is: 5,696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.85 : 11,935.51 = 3,797.30 : x
  2. Step 2: Convert to fraction form
    7,956.85/11,935.51 = 3,797.30/x
  3. Step 3: Cross multiply
    7,956.85x = 11,935.51 × 3,797.30
  4. Step 4: Simplify right side
    7,956.85x = 45,322,712.12
  5. Step 5: Solve for x
    x = 45,322,712.12/7,956.85
  6. Step 6: Final answer
    x = 5,696.06

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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.