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Finding the Fourth Proportional to 11,968.44, 17,944.56 and 4,173

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Solution

The fourth proportional to 11,968.44, 17,944.56 and 4,173 is: 6,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.44 : 17,944.56 = 4,173 : x
  2. Step 2: Convert to fraction form
    11,968.44/17,944.56 = 4,173/x
  3. Step 3: Cross multiply
    11,968.44x = 17,944.56 × 4,173
  4. Step 4: Simplify right side
    11,968.44x = 74,882,648.88
  5. Step 5: Solve for x
    x = 74,882,648.88/11,968.44
  6. Step 6: Final answer
    x = 6,256.68

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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.