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Finding the Fourth Proportional to 6,896.67, 10,339.61 and 3,609.15

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Solution

The fourth proportional to 6,896.67, 10,339.61 and 3,609.15 is: 5,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.67 : 10,339.61 = 3,609.15 : x
  2. Step 2: Convert to fraction form
    6,896.67/10,339.61 = 3,609.15/x
  3. Step 3: Cross multiply
    6,896.67x = 10,339.61 × 3,609.15
  4. Step 4: Simplify right side
    6,896.67x = 37,317,185.39
  5. Step 5: Solve for x
    x = 37,317,185.39/6,896.67
  6. Step 6: Final answer
    x = 5,410.90

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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.