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Finding the Fourth Proportional to 6,782.46, 10,193.13 and 3,322.14

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Solution

The fourth proportional to 6,782.46, 10,193.13 and 3,322.14 is: 4,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.46 : 10,193.13 = 3,322.14 : x
  2. Step 2: Convert to fraction form
    6,782.46/10,193.13 = 3,322.14/x
  3. Step 3: Cross multiply
    6,782.46x = 10,193.13 × 3,322.14
  4. Step 4: Simplify right side
    6,782.46x = 33,863,004.90
  5. Step 5: Solve for x
    x = 33,863,004.90/6,782.46
  6. Step 6: Final answer
    x = 4,992.73

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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.