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Finding the Fourth Proportional to 11,660.82, 16,092.08 and 6,355.62

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Solution

The fourth proportional to 11,660.82, 16,092.08 and 6,355.62 is: 8,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.82 : 16,092.08 = 6,355.62 : x
  2. Step 2: Convert to fraction form
    11,660.82/16,092.08 = 6,355.62/x
  3. Step 3: Cross multiply
    11,660.82x = 16,092.08 × 6,355.62
  4. Step 4: Simplify right side
    11,660.82x = 102,275,173.30
  5. Step 5: Solve for x
    x = 102,275,173.30/11,660.82
  6. Step 6: Final answer
    x = 8,770.84

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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.