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Finding the Fourth Proportional to 8,142.50, 11,224.41 and 6,371.03

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Solution

The fourth proportional to 8,142.50, 11,224.41 and 6,371.03 is: 8,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.50 : 11,224.41 = 6,371.03 : x
  2. Step 2: Convert to fraction form
    8,142.50/11,224.41 = 6,371.03/x
  3. Step 3: Cross multiply
    8,142.50x = 11,224.41 × 6,371.03
  4. Step 4: Simplify right side
    8,142.50x = 71,511,057.01
  5. Step 5: Solve for x
    x = 71,511,057.01/8,142.50
  6. Step 6: Final answer
    x = 8,782.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.