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Finding the Fourth Proportional to 7,164.75, 10,743.73 and 2,660.33

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Solution

The fourth proportional to 7,164.75, 10,743.73 and 2,660.33 is: 3,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.75 : 10,743.73 = 2,660.33 : x
  2. Step 2: Convert to fraction form
    7,164.75/10,743.73 = 2,660.33/x
  3. Step 3: Cross multiply
    7,164.75x = 10,743.73 × 2,660.33
  4. Step 4: Simplify right side
    7,164.75x = 28,581,806.86
  5. Step 5: Solve for x
    x = 28,581,806.86/7,164.75
  6. Step 6: Final answer
    x = 3,989.23

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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.