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Finding the Fourth Proportional to 11,968.97, 16,486.34 and 8,426.03

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Solution

The fourth proportional to 11,968.97, 16,486.34 and 8,426.03 is: 11,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.97 : 16,486.34 = 8,426.03 : x
  2. Step 2: Convert to fraction form
    11,968.97/16,486.34 = 8,426.03/x
  3. Step 3: Cross multiply
    11,968.97x = 16,486.34 × 8,426.03
  4. Step 4: Simplify right side
    11,968.97x = 138,914,270.87
  5. Step 5: Solve for x
    x = 138,914,270.87/11,968.97
  6. Step 6: Final answer
    x = 11,606.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.