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Finding the Fourth Proportional to 11,105.34, 16,657.89 and 3,314.22

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Solution

The fourth proportional to 11,105.34, 16,657.89 and 3,314.22 is: 4,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.34 : 16,657.89 = 3,314.22 : x
  2. Step 2: Convert to fraction form
    11,105.34/16,657.89 = 3,314.22/x
  3. Step 3: Cross multiply
    11,105.34x = 16,657.89 × 3,314.22
  4. Step 4: Simplify right side
    11,105.34x = 55,207,912.20
  5. Step 5: Solve for x
    x = 55,207,912.20/11,105.34
  6. Step 6: Final answer
    x = 4,971.29

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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.