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Finding the Fourth Proportional to 6,725.40, 10,096.20 and 6,676.80

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Solution

The fourth proportional to 6,725.40, 10,096.20 and 6,676.80 is: 10,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.40 : 10,096.20 = 6,676.80 : x
  2. Step 2: Convert to fraction form
    6,725.40/10,096.20 = 6,676.80/x
  3. Step 3: Cross multiply
    6,725.40x = 10,096.20 × 6,676.80
  4. Step 4: Simplify right side
    6,725.40x = 67,410,308.16
  5. Step 5: Solve for x
    x = 67,410,308.16/6,725.40
  6. Step 6: Final answer
    x = 10,023.24

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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.