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Finding the Fourth Proportional to 11,983.36, 17,976 and 3,662.56

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Solution

The fourth proportional to 11,983.36, 17,976 and 3,662.56 is: 5,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.36 : 17,976 = 3,662.56 : x
  2. Step 2: Convert to fraction form
    11,983.36/17,976 = 3,662.56/x
  3. Step 3: Cross multiply
    11,983.36x = 17,976 × 3,662.56
  4. Step 4: Simplify right side
    11,983.36x = 65,838,178.56
  5. Step 5: Solve for x
    x = 65,838,178.56/11,983.36
  6. Step 6: Final answer
    x = 5,494.13

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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.