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Finding the Fourth Proportional to 10,785.92, 16,198.32 and 10,293.44

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Solution

The fourth proportional to 10,785.92, 16,198.32 and 10,293.44 is: 15,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.92 : 16,198.32 = 10,293.44 : x
  2. Step 2: Convert to fraction form
    10,785.92/16,198.32 = 10,293.44/x
  3. Step 3: Cross multiply
    10,785.92x = 16,198.32 × 10,293.44
  4. Step 4: Simplify right side
    10,785.92x = 166,736,435.02
  5. Step 5: Solve for x
    x = 166,736,435.02/10,785.92
  6. Step 6: Final answer
    x = 15,458.71

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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.