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Finding the Fourth Proportional to 7,697.42, 11,542.02 and 3,995.92

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Solution

The fourth proportional to 7,697.42, 11,542.02 and 3,995.92 is: 5,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.42 : 11,542.02 = 3,995.92 : x
  2. Step 2: Convert to fraction form
    7,697.42/11,542.02 = 3,995.92/x
  3. Step 3: Cross multiply
    7,697.42x = 11,542.02 × 3,995.92
  4. Step 4: Simplify right side
    7,697.42x = 46,120,988.56
  5. Step 5: Solve for x
    x = 46,120,988.56/7,697.42
  6. Step 6: Final answer
    x = 5,991.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.