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Finding the Fourth Proportional to 11,759.57, 17,645.39 and 7,813.53

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Solution

The fourth proportional to 11,759.57, 17,645.39 and 7,813.53 is: 11,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.57 : 17,645.39 = 7,813.53 : x
  2. Step 2: Convert to fraction form
    11,759.57/17,645.39 = 7,813.53/x
  3. Step 3: Cross multiply
    11,759.57x = 17,645.39 × 7,813.53
  4. Step 4: Simplify right side
    11,759.57x = 137,872,806.09
  5. Step 5: Solve for x
    x = 137,872,806.09/11,759.57
  6. Step 6: Final answer
    x = 11,724.31

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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.