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Finding the Fourth Proportional to 10,906.30, 16,365.71 and 6,166.20

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Solution

The fourth proportional to 10,906.30, 16,365.71 and 6,166.20 is: 9,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.30 : 16,365.71 = 6,166.20 : x
  2. Step 2: Convert to fraction form
    10,906.30/16,365.71 = 6,166.20/x
  3. Step 3: Cross multiply
    10,906.30x = 16,365.71 × 6,166.20
  4. Step 4: Simplify right side
    10,906.30x = 100,914,245.75
  5. Step 5: Solve for x
    x = 100,914,245.75/10,906.30
  6. Step 6: Final answer
    x = 9,252.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.