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Finding the Fourth Proportional to 8,511.25, 12,757.41 and 6,424.49

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Solution

The fourth proportional to 8,511.25, 12,757.41 and 6,424.49 is: 9,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.25 : 12,757.41 = 6,424.49 : x
  2. Step 2: Convert to fraction form
    8,511.25/12,757.41 = 6,424.49/x
  3. Step 3: Cross multiply
    8,511.25x = 12,757.41 × 6,424.49
  4. Step 4: Simplify right side
    8,511.25x = 81,959,757.06
  5. Step 5: Solve for x
    x = 81,959,757.06/8,511.25
  6. Step 6: Final answer
    x = 9,629.58

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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.