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Finding the Fourth Proportional to 11,957.49, 17,936.69 and 6,107.27

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Solution

The fourth proportional to 11,957.49, 17,936.69 and 6,107.27 is: 9,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.49 : 17,936.69 = 6,107.27 : x
  2. Step 2: Convert to fraction form
    11,957.49/17,936.69 = 6,107.27/x
  3. Step 3: Cross multiply
    11,957.49x = 17,936.69 × 6,107.27
  4. Step 4: Simplify right side
    11,957.49x = 109,544,208.74
  5. Step 5: Solve for x
    x = 109,544,208.74/11,957.49
  6. Step 6: Final answer
    x = 9,161.14

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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.