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Finding the Fourth Proportional to 7,697.96, 11,542.33 and 3,741.43

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Solution

The fourth proportional to 7,697.96, 11,542.33 and 3,741.43 is: 5,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.96 : 11,542.33 = 3,741.43 : x
  2. Step 2: Convert to fraction form
    7,697.96/11,542.33 = 3,741.43/x
  3. Step 3: Cross multiply
    7,697.96x = 11,542.33 × 3,741.43
  4. Step 4: Simplify right side
    7,697.96x = 43,184,781.52
  5. Step 5: Solve for x
    x = 43,184,781.52/7,697.96
  6. Step 6: Final answer
    x = 5,609.90

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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.