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Finding the Fourth Proportional to 7,967.91, 11,951.93 and 2,773.77

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Solution

The fourth proportional to 7,967.91, 11,951.93 and 2,773.77 is: 4,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.91 : 11,951.93 = 2,773.77 : x
  2. Step 2: Convert to fraction form
    7,967.91/11,951.93 = 2,773.77/x
  3. Step 3: Cross multiply
    7,967.91x = 11,951.93 × 2,773.77
  4. Step 4: Simplify right side
    7,967.91x = 33,151,891.01
  5. Step 5: Solve for x
    x = 33,151,891.01/7,967.91
  6. Step 6: Final answer
    x = 4,160.68

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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.