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Finding the Fourth Proportional to 11,936.48, 16,478.49 and 8,415.41

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Solution

The fourth proportional to 11,936.48, 16,478.49 and 8,415.41 is: 11,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936.48 : 16,478.49 = 8,415.41 : x
  2. Step 2: Convert to fraction form
    11,936.48/16,478.49 = 8,415.41/x
  3. Step 3: Cross multiply
    11,936.48x = 16,478.49 × 8,415.41
  4. Step 4: Simplify right side
    11,936.48x = 138,673,167.14
  5. Step 5: Solve for x
    x = 138,673,167.14/11,936.48
  6. Step 6: Final answer
    x = 11,617.60

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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.