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Finding the Fourth Proportional to 6,725.26, 10,098.83 and 6,674.23

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Solution

The fourth proportional to 6,725.26, 10,098.83 and 6,674.23 is: 10,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.26 : 10,098.83 = 6,674.23 : x
  2. Step 2: Convert to fraction form
    6,725.26/10,098.83 = 6,674.23/x
  3. Step 3: Cross multiply
    6,725.26x = 10,098.83 × 6,674.23
  4. Step 4: Simplify right side
    6,725.26x = 67,401,914.15
  5. Step 5: Solve for x
    x = 67,401,914.15/6,725.26
  6. Step 6: Final answer
    x = 10,022.20

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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.