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Finding the Fourth Proportional to 11,434, 17,151.96 and 3,226

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Solution

The fourth proportional to 11,434, 17,151.96 and 3,226 is: 4,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434 : 17,151.96 = 3,226 : x
  2. Step 2: Convert to fraction form
    11,434/17,151.96 = 3,226/x
  3. Step 3: Cross multiply
    11,434x = 17,151.96 × 3,226
  4. Step 4: Simplify right side
    11,434x = 55,332,222.96
  5. Step 5: Solve for x
    x = 55,332,222.96/11,434
  6. Step 6: Final answer
    x = 4,839.27

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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.