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Finding the Fourth Proportional to 11,673.78, 17,513.55 and 3,882.66

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Solution

The fourth proportional to 11,673.78, 17,513.55 and 3,882.66 is: 5,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.78 : 17,513.55 = 3,882.66 : x
  2. Step 2: Convert to fraction form
    11,673.78/17,513.55 = 3,882.66/x
  3. Step 3: Cross multiply
    11,673.78x = 17,513.55 × 3,882.66
  4. Step 4: Simplify right side
    11,673.78x = 67,999,160.04
  5. Step 5: Solve for x
    x = 67,999,160.04/11,673.78
  6. Step 6: Final answer
    x = 5,824.95

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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.