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Finding the Fourth Proportional to 10,906.80, 16,338.60 and 6,511.20

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Solution

The fourth proportional to 10,906.80, 16,338.60 and 6,511.20 is: 9,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.80 : 16,338.60 = 6,511.20 : x
  2. Step 2: Convert to fraction form
    10,906.80/16,338.60 = 6,511.20/x
  3. Step 3: Cross multiply
    10,906.80x = 16,338.60 × 6,511.20
  4. Step 4: Simplify right side
    10,906.80x = 106,383,892.32
  5. Step 5: Solve for x
    x = 106,383,892.32/10,906.80
  6. Step 6: Final answer
    x = 9,753.91

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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.