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Finding the Fourth Proportional to 11,957.26, 17,935.89 and 5,382.22

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Solution

The fourth proportional to 11,957.26, 17,935.89 and 5,382.22 is: 8,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.26 : 17,935.89 = 5,382.22 : x
  2. Step 2: Convert to fraction form
    11,957.26/17,935.89 = 5,382.22/x
  3. Step 3: Cross multiply
    11,957.26x = 17,935.89 × 5,382.22
  4. Step 4: Simplify right side
    11,957.26x = 96,534,905.88
  5. Step 5: Solve for x
    x = 96,534,905.88/11,957.26
  6. Step 6: Final answer
    x = 8,073.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.