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Finding the Fourth Proportional to 10,893.12, 16,336.44 and 3,966

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Solution

The fourth proportional to 10,893.12, 16,336.44 and 3,966 is: 5,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.12 : 16,336.44 = 3,966 : x
  2. Step 2: Convert to fraction form
    10,893.12/16,336.44 = 3,966/x
  3. Step 3: Cross multiply
    10,893.12x = 16,336.44 × 3,966
  4. Step 4: Simplify right side
    10,893.12x = 64,790,321.04
  5. Step 5: Solve for x
    x = 64,790,321.04/10,893.12
  6. Step 6: Final answer
    x = 5,947.82

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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.