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Finding the Fourth Proportional to 11,571.44, 17,356.97 and 2,806.29

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Solution

The fourth proportional to 11,571.44, 17,356.97 and 2,806.29 is: 4,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.44 : 17,356.97 = 2,806.29 : x
  2. Step 2: Convert to fraction form
    11,571.44/17,356.97 = 2,806.29/x
  3. Step 3: Cross multiply
    11,571.44x = 17,356.97 × 2,806.29
  4. Step 4: Simplify right side
    11,571.44x = 48,708,677.31
  5. Step 5: Solve for x
    x = 48,708,677.31/11,571.44
  6. Step 6: Final answer
    x = 4,209.39

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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.