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Finding the Fourth Proportional to 6,683.11, 10,024.56 and 2,003.13

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Solution

The fourth proportional to 6,683.11, 10,024.56 and 2,003.13 is: 3,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.11 : 10,024.56 = 2,003.13 : x
  2. Step 2: Convert to fraction form
    6,683.11/10,024.56 = 2,003.13/x
  3. Step 3: Cross multiply
    6,683.11x = 10,024.56 × 2,003.13
  4. Step 4: Simplify right side
    6,683.11x = 20,080,496.87
  5. Step 5: Solve for x
    x = 20,080,496.87/6,683.11
  6. Step 6: Final answer
    x = 3,004.66

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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.