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Finding the Fourth Proportional to 10,884.32, 16,327.52 and 3,863.64

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Solution

The fourth proportional to 10,884.32, 16,327.52 and 3,863.64 is: 5,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.32 : 16,327.52 = 3,863.64 : x
  2. Step 2: Convert to fraction form
    10,884.32/16,327.52 = 3,863.64/x
  3. Step 3: Cross multiply
    10,884.32x = 16,327.52 × 3,863.64
  4. Step 4: Simplify right side
    10,884.32x = 63,083,659.37
  5. Step 5: Solve for x
    x = 63,083,659.37/10,884.32
  6. Step 6: Final answer
    x = 5,795.83

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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.