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Finding the Fourth Proportional to 7,167.42, 10,739.01 and 3,471.42

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Solution

The fourth proportional to 7,167.42, 10,739.01 and 3,471.42 is: 5,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.42 : 10,739.01 = 3,471.42 : x
  2. Step 2: Convert to fraction form
    7,167.42/10,739.01 = 3,471.42/x
  3. Step 3: Cross multiply
    7,167.42x = 10,739.01 × 3,471.42
  4. Step 4: Simplify right side
    7,167.42x = 37,279,614.09
  5. Step 5: Solve for x
    x = 37,279,614.09/7,167.42
  6. Step 6: Final answer
    x = 5,201.26

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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.