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Finding the Fourth Proportional to 11,964.52, 17,939.10 and 5,721.16

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Solution

The fourth proportional to 11,964.52, 17,939.10 and 5,721.16 is: 8,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.52 : 17,939.10 = 5,721.16 : x
  2. Step 2: Convert to fraction form
    11,964.52/17,939.10 = 5,721.16/x
  3. Step 3: Cross multiply
    11,964.52x = 17,939.10 × 5,721.16
  4. Step 4: Simplify right side
    11,964.52x = 102,632,461.36
  5. Step 5: Solve for x
    x = 102,632,461.36/11,964.52
  6. Step 6: Final answer
    x = 8,578.07

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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.