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Finding the Fourth Proportional to 7,956.24, 11,912.16 and 5,175.96

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Solution

The fourth proportional to 7,956.24, 11,912.16 and 5,175.96 is: 7,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.24 : 11,912.16 = 5,175.96 : x
  2. Step 2: Convert to fraction form
    7,956.24/11,912.16 = 5,175.96/x
  3. Step 3: Cross multiply
    7,956.24x = 11,912.16 × 5,175.96
  4. Step 4: Simplify right side
    7,956.24x = 61,656,863.67
  5. Step 5: Solve for x
    x = 61,656,863.67/7,956.24
  6. Step 6: Final answer
    x = 7,749.50

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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.