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Finding the Fourth Proportional to 7,864, 11,797.44 and 2,668.48

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Solution

The fourth proportional to 7,864, 11,797.44 and 2,668.48 is: 4,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864 : 11,797.44 = 2,668.48 : x
  2. Step 2: Convert to fraction form
    7,864/11,797.44 = 2,668.48/x
  3. Step 3: Cross multiply
    7,864x = 11,797.44 × 2,668.48
  4. Step 4: Simplify right side
    7,864x = 31,481,232.69
  5. Step 5: Solve for x
    x = 31,481,232.69/7,864
  6. Step 6: Final answer
    x = 4,003.21

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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.