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Finding the Fourth Proportional to 11,813, 17,717.68 and 3,918.95

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Solution

The fourth proportional to 11,813, 17,717.68 and 3,918.95 is: 5,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813 : 17,717.68 = 3,918.95 : x
  2. Step 2: Convert to fraction form
    11,813/17,717.68 = 3,918.95/x
  3. Step 3: Cross multiply
    11,813x = 17,717.68 × 3,918.95
  4. Step 4: Simplify right side
    11,813x = 69,434,593.85
  5. Step 5: Solve for x
    x = 69,434,593.85/11,813
  6. Step 6: Final answer
    x = 5,877.81

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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.