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Finding the Fourth Proportional to 6,683.25, 10,023.59 and 2,003.85

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Solution

The fourth proportional to 6,683.25, 10,023.59 and 2,003.85 is: 3,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.25 : 10,023.59 = 2,003.85 : x
  2. Step 2: Convert to fraction form
    6,683.25/10,023.59 = 2,003.85/x
  3. Step 3: Cross multiply
    6,683.25x = 10,023.59 × 2,003.85
  4. Step 4: Simplify right side
    6,683.25x = 20,085,760.80
  5. Step 5: Solve for x
    x = 20,085,760.80/6,683.25
  6. Step 6: Final answer
    x = 3,005.39

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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.