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Finding the Fourth Proportional to 11,781.96, 17,666.27 and 3,882.36

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Solution

The fourth proportional to 11,781.96, 17,666.27 and 3,882.36 is: 5,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.96 : 17,666.27 = 3,882.36 : x
  2. Step 2: Convert to fraction form
    11,781.96/17,666.27 = 3,882.36/x
  3. Step 3: Cross multiply
    11,781.96x = 17,666.27 × 3,882.36
  4. Step 4: Simplify right side
    11,781.96x = 68,586,800.59
  5. Step 5: Solve for x
    x = 68,586,800.59/11,781.96
  6. Step 6: Final answer
    x = 5,821.34

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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.