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Finding the Fourth Proportional to 11,990.40, 17,987.44 and 3,226

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Solution

The fourth proportional to 11,990.40, 17,987.44 and 3,226 is: 4,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,990.40 : 17,987.44 = 3,226 : x
  2. Step 2: Convert to fraction form
    11,990.40/17,987.44 = 3,226/x
  3. Step 3: Cross multiply
    11,990.40x = 17,987.44 × 3,226
  4. Step 4: Simplify right side
    11,990.40x = 58,027,481.44
  5. Step 5: Solve for x
    x = 58,027,481.44/11,990.40
  6. Step 6: Final answer
    x = 4,839.50

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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.