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Finding the Fourth Proportional to 6,683.24, 10,016.16 and 2,729.87

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Solution

The fourth proportional to 6,683.24, 10,016.16 and 2,729.87 is: 4,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.24 : 10,016.16 = 2,729.87 : x
  2. Step 2: Convert to fraction form
    6,683.24/10,016.16 = 2,729.87/x
  3. Step 3: Cross multiply
    6,683.24x = 10,016.16 × 2,729.87
  4. Step 4: Simplify right side
    6,683.24x = 27,342,764.62
  5. Step 5: Solve for x
    x = 27,342,764.62/6,683.24
  6. Step 6: Final answer
    x = 4,091.25

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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.