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Finding the Fourth Proportional to 11,661.25, 16,092.06 and 6,355.96

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Solution

The fourth proportional to 11,661.25, 16,092.06 and 6,355.96 is: 8,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.25 : 16,092.06 = 6,355.96 : x
  2. Step 2: Convert to fraction form
    11,661.25/16,092.06 = 6,355.96/x
  3. Step 3: Cross multiply
    11,661.25x = 16,092.06 × 6,355.96
  4. Step 4: Simplify right side
    11,661.25x = 102,280,489.68
  5. Step 5: Solve for x
    x = 102,280,489.68/11,661.25
  6. Step 6: Final answer
    x = 8,770.97

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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.