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Finding the Fourth Proportional to 6,825.67, 10,232.12 and 3,701.09

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Solution

The fourth proportional to 6,825.67, 10,232.12 and 3,701.09 is: 5,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.67 : 10,232.12 = 3,701.09 : x
  2. Step 2: Convert to fraction form
    6,825.67/10,232.12 = 3,701.09/x
  3. Step 3: Cross multiply
    6,825.67x = 10,232.12 × 3,701.09
  4. Step 4: Simplify right side
    6,825.67x = 37,870,031.84
  5. Step 5: Solve for x
    x = 37,870,031.84/6,825.67
  6. Step 6: Final answer
    x = 5,548.18

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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.