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Finding the Fourth Proportional to 11,906.28, 17,862.39 and 8,403.13

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Solution

The fourth proportional to 11,906.28, 17,862.39 and 8,403.13 is: 12,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.28 : 17,862.39 = 8,403.13 : x
  2. Step 2: Convert to fraction form
    11,906.28/17,862.39 = 8,403.13/x
  3. Step 3: Cross multiply
    11,906.28x = 17,862.39 × 8,403.13
  4. Step 4: Simplify right side
    11,906.28x = 150,099,907.13
  5. Step 5: Solve for x
    x = 150,099,907.13/11,906.28
  6. Step 6: Final answer
    x = 12,606.78

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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.