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Finding the Fourth Proportional to 6,342.72, 8,753.00 and 3,824.33

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Solution

The fourth proportional to 6,342.72, 8,753.00 and 3,824.33 is: 5,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.72 : 8,753.00 = 3,824.33 : x
  2. Step 2: Convert to fraction form
    6,342.72/8,753.00 = 3,824.33/x
  3. Step 3: Cross multiply
    6,342.72x = 8,753.00 × 3,824.33
  4. Step 4: Simplify right side
    6,342.72x = 33,474,297.60
  5. Step 5: Solve for x
    x = 33,474,297.60/6,342.72
  6. Step 6: Final answer
    x = 5,277.60

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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.