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Finding the Fourth Proportional to 7,956.92, 11,930.72 and 2,408.63

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Solution

The fourth proportional to 7,956.92, 11,930.72 and 2,408.63 is: 3,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.92 : 11,930.72 = 2,408.63 : x
  2. Step 2: Convert to fraction form
    7,956.92/11,930.72 = 2,408.63/x
  3. Step 3: Cross multiply
    7,956.92x = 11,930.72 × 2,408.63
  4. Step 4: Simplify right side
    7,956.92x = 28,736,618.42
  5. Step 5: Solve for x
    x = 28,736,618.42/7,956.92
  6. Step 6: Final answer
    x = 3,611.53

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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.