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Finding the Fourth Proportional to 8,093.94, 12,138.21 and 3,162.30

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Solution

The fourth proportional to 8,093.94, 12,138.21 and 3,162.30 is: 4,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.94 : 12,138.21 = 3,162.30 : x
  2. Step 2: Convert to fraction form
    8,093.94/12,138.21 = 3,162.30/x
  3. Step 3: Cross multiply
    8,093.94x = 12,138.21 × 3,162.30
  4. Step 4: Simplify right side
    8,093.94x = 38,384,661.48
  5. Step 5: Solve for x
    x = 38,384,661.48/8,093.94
  6. Step 6: Final answer
    x = 4,742.40

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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.