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Finding the Fourth Proportional to 7,105.25, 10,654.64 and 3,409.22

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Solution

The fourth proportional to 7,105.25, 10,654.64 and 3,409.22 is: 5,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.25 : 10,654.64 = 3,409.22 : x
  2. Step 2: Convert to fraction form
    7,105.25/10,654.64 = 3,409.22/x
  3. Step 3: Cross multiply
    7,105.25x = 10,654.64 × 3,409.22
  4. Step 4: Simplify right side
    7,105.25x = 36,324,063.72
  5. Step 5: Solve for x
    x = 36,324,063.72/7,105.25
  6. Step 6: Final answer
    x = 5,112.28

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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.