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Finding the Fourth Proportional to 6,812.12, 10,216.02 and 2,194.04

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Solution

The fourth proportional to 6,812.12, 10,216.02 and 2,194.04 is: 3,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.12 : 10,216.02 = 2,194.04 : x
  2. Step 2: Convert to fraction form
    6,812.12/10,216.02 = 2,194.04/x
  3. Step 3: Cross multiply
    6,812.12x = 10,216.02 × 2,194.04
  4. Step 4: Simplify right side
    6,812.12x = 22,414,356.52
  5. Step 5: Solve for x
    x = 22,414,356.52/6,812.12
  6. Step 6: Final answer
    x = 3,290.36

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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.