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Finding the Fourth Proportional to 7,961.91, 11,950.92 and 3,284.71

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Solution

The fourth proportional to 7,961.91, 11,950.92 and 3,284.71 is: 4,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.91 : 11,950.92 = 3,284.71 : x
  2. Step 2: Convert to fraction form
    7,961.91/11,950.92 = 3,284.71/x
  3. Step 3: Cross multiply
    7,961.91x = 11,950.92 × 3,284.71
  4. Step 4: Simplify right side
    7,961.91x = 39,255,306.43
  5. Step 5: Solve for x
    x = 39,255,306.43/7,961.91
  6. Step 6: Final answer
    x = 4,930.39

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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.