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Finding the Fourth Proportional to 8,093.88, 12,137.49 and 3,162.81

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Solution

The fourth proportional to 8,093.88, 12,137.49 and 3,162.81 is: 4,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.88 : 12,137.49 = 3,162.81 : x
  2. Step 2: Convert to fraction form
    8,093.88/12,137.49 = 3,162.81/x
  3. Step 3: Cross multiply
    8,093.88x = 12,137.49 × 3,162.81
  4. Step 4: Simplify right side
    8,093.88x = 38,388,574.75
  5. Step 5: Solve for x
    x = 38,388,574.75/8,093.88
  6. Step 6: Final answer
    x = 4,742.91

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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.