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Finding the Fourth Proportional to 11,616.43, 17,424.23 and 3,296.42

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Solution

The fourth proportional to 11,616.43, 17,424.23 and 3,296.42 is: 4,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.43 : 17,424.23 = 3,296.42 : x
  2. Step 2: Convert to fraction form
    11,616.43/17,424.23 = 3,296.42/x
  3. Step 3: Cross multiply
    11,616.43x = 17,424.23 × 3,296.42
  4. Step 4: Simplify right side
    11,616.43x = 57,437,580.26
  5. Step 5: Solve for x
    x = 57,437,580.26/11,616.43
  6. Step 6: Final answer
    x = 4,944.51

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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.