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Finding the Fourth Proportional to 11,530.27, 17,297.84 and 3,738.48

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Solution

The fourth proportional to 11,530.27, 17,297.84 and 3,738.48 is: 5,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.27 : 17,297.84 = 3,738.48 : x
  2. Step 2: Convert to fraction form
    11,530.27/17,297.84 = 3,738.48/x
  3. Step 3: Cross multiply
    11,530.27x = 17,297.84 × 3,738.48
  4. Step 4: Simplify right side
    11,530.27x = 64,667,628.88
  5. Step 5: Solve for x
    x = 64,667,628.88/11,530.27
  6. Step 6: Final answer
    x = 5,608.51

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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.