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Finding the Fourth Proportional to 10,367.98, 15,538.94 and 8,168.02

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Solution

The fourth proportional to 10,367.98, 15,538.94 and 8,168.02 is: 12,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.98 : 15,538.94 = 8,168.02 : x
  2. Step 2: Convert to fraction form
    10,367.98/15,538.94 = 8,168.02/x
  3. Step 3: Cross multiply
    10,367.98x = 15,538.94 × 8,168.02
  4. Step 4: Simplify right side
    10,367.98x = 126,922,372.70
  5. Step 5: Solve for x
    x = 126,922,372.70/10,367.98
  6. Step 6: Final answer
    x = 12,241.76

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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.