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Finding the Fourth Proportional to 6,872.67, 10,302.06 and 2,711.07

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Solution

The fourth proportional to 6,872.67, 10,302.06 and 2,711.07 is: 4,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.67 : 10,302.06 = 2,711.07 : x
  2. Step 2: Convert to fraction form
    6,872.67/10,302.06 = 2,711.07/x
  3. Step 3: Cross multiply
    6,872.67x = 10,302.06 × 2,711.07
  4. Step 4: Simplify right side
    6,872.67x = 27,929,605.80
  5. Step 5: Solve for x
    x = 27,929,605.80/6,872.67
  6. Step 6: Final answer
    x = 4,063.87

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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.