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Finding the Fourth Proportional to 11,781.33, 16,257.83 and 6,476.11

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Solution

The fourth proportional to 11,781.33, 16,257.83 and 6,476.11 is: 8,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.33 : 16,257.83 = 6,476.11 : x
  2. Step 2: Convert to fraction form
    11,781.33/16,257.83 = 6,476.11/x
  3. Step 3: Cross multiply
    11,781.33x = 16,257.83 × 6,476.11
  4. Step 4: Simplify right side
    11,781.33x = 105,287,477.25
  5. Step 5: Solve for x
    x = 105,287,477.25/11,781.33
  6. Step 6: Final answer
    x = 8,936.81

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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.