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Finding the Fourth Proportional to 7,967.62, 11,958.72 and 4,074.76

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Solution

The fourth proportional to 7,967.62, 11,958.72 and 4,074.76 is: 6,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.62 : 11,958.72 = 4,074.76 : x
  2. Step 2: Convert to fraction form
    7,967.62/11,958.72 = 4,074.76/x
  3. Step 3: Cross multiply
    7,967.62x = 11,958.72 × 4,074.76
  4. Step 4: Simplify right side
    7,967.62x = 48,728,913.91
  5. Step 5: Solve for x
    x = 48,728,913.91/7,967.62
  6. Step 6: Final answer
    x = 6,115.87

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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.