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Finding the Fourth Proportional to 11,996.01, 17,957.11 and 7,827.04

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Solution

The fourth proportional to 11,996.01, 17,957.11 and 7,827.04 is: 11,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.01 : 17,957.11 = 7,827.04 : x
  2. Step 2: Convert to fraction form
    11,996.01/17,957.11 = 7,827.04/x
  3. Step 3: Cross multiply
    11,996.01x = 17,957.11 × 7,827.04
  4. Step 4: Simplify right side
    11,996.01x = 140,551,119.33
  5. Step 5: Solve for x
    x = 140,551,119.33/11,996.01
  6. Step 6: Final answer
    x = 11,716.49

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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.