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Finding the Fourth Proportional to 7,167.92, 10,739.76 and 3,471.92

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Solution

The fourth proportional to 7,167.92, 10,739.76 and 3,471.92 is: 5,202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.92 : 10,739.76 = 3,471.92 : x
  2. Step 2: Convert to fraction form
    7,167.92/10,739.76 = 3,471.92/x
  3. Step 3: Cross multiply
    7,167.92x = 10,739.76 × 3,471.92
  4. Step 4: Simplify right side
    7,167.92x = 37,287,587.54
  5. Step 5: Solve for x
    x = 37,287,587.54/7,167.92
  6. Step 6: Final answer
    x = 5,202.01

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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.