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Finding the Fourth Proportional to 11,211.10, 16,794.78 and 6,817.66

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Solution

The fourth proportional to 11,211.10, 16,794.78 and 6,817.66 is: 10,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.10 : 16,794.78 = 6,817.66 : x
  2. Step 2: Convert to fraction form
    11,211.10/16,794.78 = 6,817.66/x
  3. Step 3: Cross multiply
    11,211.10x = 16,794.78 × 6,817.66
  4. Step 4: Simplify right side
    11,211.10x = 114,501,099.81
  5. Step 5: Solve for x
    x = 114,501,099.81/11,211.10
  6. Step 6: Final answer
    x = 10,213.19

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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.