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Finding the Fourth Proportional to 10,965.60, 16,446.48 and 6,033.60

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Solution

The fourth proportional to 10,965.60, 16,446.48 and 6,033.60 is: 9,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.60 : 16,446.48 = 6,033.60 : x
  2. Step 2: Convert to fraction form
    10,965.60/16,446.48 = 6,033.60/x
  3. Step 3: Cross multiply
    10,965.60x = 16,446.48 × 6,033.60
  4. Step 4: Simplify right side
    10,965.60x = 99,231,481.73
  5. Step 5: Solve for x
    x = 99,231,481.73/10,965.60
  6. Step 6: Final answer
    x = 9,049.34

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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.