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Finding the Fourth Proportional to 11,084.22, 16,626.42 and 7,812

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Solution

The fourth proportional to 11,084.22, 16,626.42 and 7,812 is: 11,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084.22 : 16,626.42 = 7,812 : x
  2. Step 2: Convert to fraction form
    11,084.22/16,626.42 = 7,812/x
  3. Step 3: Cross multiply
    11,084.22x = 16,626.42 × 7,812
  4. Step 4: Simplify right side
    11,084.22x = 129,885,593.04
  5. Step 5: Solve for x
    x = 129,885,593.04/11,084.22
  6. Step 6: Final answer
    x = 11,718.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.