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Finding the Fourth Proportional to 8,093.36, 12,137.46 and 3,161.80

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Solution

The fourth proportional to 8,093.36, 12,137.46 and 3,161.80 is: 4,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.36 : 12,137.46 = 3,161.80 : x
  2. Step 2: Convert to fraction form
    8,093.36/12,137.46 = 3,161.80/x
  3. Step 3: Cross multiply
    8,093.36x = 12,137.46 × 3,161.80
  4. Step 4: Simplify right side
    8,093.36x = 38,376,221.03
  5. Step 5: Solve for x
    x = 38,376,221.03/8,093.36
  6. Step 6: Final answer
    x = 4,741.69

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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.