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Finding the Fourth Proportional to 7,967.68, 11,951.76 and 3,347.44

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Solution

The fourth proportional to 7,967.68, 11,951.76 and 3,347.44 is: 5,021.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.68 : 11,951.76 = 3,347.44 : x
  2. Step 2: Convert to fraction form
    7,967.68/11,951.76 = 3,347.44/x
  3. Step 3: Cross multiply
    7,967.68x = 11,951.76 × 3,347.44
  4. Step 4: Simplify right side
    7,967.68x = 40,007,799.49
  5. Step 5: Solve for x
    x = 40,007,799.49/7,967.68
  6. Step 6: Final answer
    x = 5,021.26

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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.