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Finding the Fourth Proportional to 8,137.09, 12,193.08 and 5,494.24

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Solution

The fourth proportional to 8,137.09, 12,193.08 and 5,494.24 is: 8,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.09 : 12,193.08 = 5,494.24 : x
  2. Step 2: Convert to fraction form
    8,137.09/12,193.08 = 5,494.24/x
  3. Step 3: Cross multiply
    8,137.09x = 12,193.08 × 5,494.24
  4. Step 4: Simplify right side
    8,137.09x = 66,991,675.93
  5. Step 5: Solve for x
    x = 66,991,675.93/8,137.09
  6. Step 6: Final answer
    x = 8,232.88

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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.