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Finding the Fourth Proportional to 6,683.87, 10,027.17 and 2,003.69

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Solution

The fourth proportional to 6,683.87, 10,027.17 and 2,003.69 is: 3,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.87 : 10,027.17 = 2,003.69 : x
  2. Step 2: Convert to fraction form
    6,683.87/10,027.17 = 2,003.69/x
  3. Step 3: Cross multiply
    6,683.87x = 10,027.17 × 2,003.69
  4. Step 4: Simplify right side
    6,683.87x = 20,091,290.12
  5. Step 5: Solve for x
    x = 20,091,290.12/6,683.87
  6. Step 6: Final answer
    x = 3,005.94

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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.