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Finding the Fourth Proportional to 11,812.24, 17,722.44 and 5,243.02

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Solution

The fourth proportional to 11,812.24, 17,722.44 and 5,243.02 is: 7,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.24 : 17,722.44 = 5,243.02 : x
  2. Step 2: Convert to fraction form
    11,812.24/17,722.44 = 5,243.02/x
  3. Step 3: Cross multiply
    11,812.24x = 17,722.44 × 5,243.02
  4. Step 4: Simplify right side
    11,812.24x = 92,919,107.37
  5. Step 5: Solve for x
    x = 92,919,107.37/11,812.24
  6. Step 6: Final answer
    x = 7,866.34

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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.