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Finding the Fourth Proportional to 8,431.36, 12,645.44 and 6,797.44

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Solution

The fourth proportional to 8,431.36, 12,645.44 and 6,797.44 is: 10,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.36 : 12,645.44 = 6,797.44 : x
  2. Step 2: Convert to fraction form
    8,431.36/12,645.44 = 6,797.44/x
  3. Step 3: Cross multiply
    8,431.36x = 12,645.44 × 6,797.44
  4. Step 4: Simplify right side
    8,431.36x = 85,956,619.67
  5. Step 5: Solve for x
    x = 85,956,619.67/8,431.36
  6. Step 6: Final answer
    x = 10,194.87

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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.