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Finding the Fourth Proportional to 11,757.44, 17,622.24 and 5,169.84

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Solution

The fourth proportional to 11,757.44, 17,622.24 and 5,169.84 is: 7,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.44 : 17,622.24 = 5,169.84 : x
  2. Step 2: Convert to fraction form
    11,757.44/17,622.24 = 5,169.84/x
  3. Step 3: Cross multiply
    11,757.44x = 17,622.24 × 5,169.84
  4. Step 4: Simplify right side
    11,757.44x = 91,104,161.24
  5. Step 5: Solve for x
    x = 91,104,161.24/11,757.44
  6. Step 6: Final answer
    x = 7,748.64

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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.