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Finding the Fourth Proportional to 11,806.40, 17,705.09 and 3,906.53

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Solution

The fourth proportional to 11,806.40, 17,705.09 and 3,906.53 is: 5,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.40 : 17,705.09 = 3,906.53 : x
  2. Step 2: Convert to fraction form
    11,806.40/17,705.09 = 3,906.53/x
  3. Step 3: Cross multiply
    11,806.40x = 17,705.09 × 3,906.53
  4. Step 4: Simplify right side
    11,806.40x = 69,165,357.18
  5. Step 5: Solve for x
    x = 69,165,357.18/11,806.40
  6. Step 6: Final answer
    x = 5,858.30

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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.