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Finding the Fourth Proportional to 6,874.32, 10,311.95 and 2,194.68

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Solution

The fourth proportional to 6,874.32, 10,311.95 and 2,194.68 is: 3,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.32 : 10,311.95 = 2,194.68 : x
  2. Step 2: Convert to fraction form
    6,874.32/10,311.95 = 2,194.68/x
  3. Step 3: Cross multiply
    6,874.32x = 10,311.95 × 2,194.68
  4. Step 4: Simplify right side
    6,874.32x = 22,631,435.91
  5. Step 5: Solve for x
    x = 22,631,435.91/6,874.32
  6. Step 6: Final answer
    x = 3,292.17

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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.