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Finding the Fourth Proportional to 6,872.34, 10,309.11 and 2,193.02

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Solution

The fourth proportional to 6,872.34, 10,309.11 and 2,193.02 is: 3,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.34 : 10,309.11 = 2,193.02 : x
  2. Step 2: Convert to fraction form
    6,872.34/10,309.11 = 2,193.02/x
  3. Step 3: Cross multiply
    6,872.34x = 10,309.11 × 2,193.02
  4. Step 4: Simplify right side
    6,872.34x = 22,608,084.41
  5. Step 5: Solve for x
    x = 22,608,084.41/6,872.34
  6. Step 6: Final answer
    x = 3,289.72

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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.