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Finding the Fourth Proportional to 6,735.31, 10,107.29 and 3,270.67

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Solution

The fourth proportional to 6,735.31, 10,107.29 and 3,270.67 is: 4,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.31 : 10,107.29 = 3,270.67 : x
  2. Step 2: Convert to fraction form
    6,735.31/10,107.29 = 3,270.67/x
  3. Step 3: Cross multiply
    6,735.31x = 10,107.29 × 3,270.67
  4. Step 4: Simplify right side
    6,735.31x = 33,057,610.18
  5. Step 5: Solve for x
    x = 33,057,610.18/6,735.31
  6. Step 6: Final answer
    x = 4,908.11

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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.