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Finding the Fourth Proportional to 6,760.32, 10,146.24 and 6,725.76

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Solution

The fourth proportional to 6,760.32, 10,146.24 and 6,725.76 is: 10,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.32 : 10,146.24 = 6,725.76 : x
  2. Step 2: Convert to fraction form
    6,760.32/10,146.24 = 6,725.76/x
  3. Step 3: Cross multiply
    6,760.32x = 10,146.24 × 6,725.76
  4. Step 4: Simplify right side
    6,760.32x = 68,241,175.14
  5. Step 5: Solve for x
    x = 68,241,175.14/6,760.32
  6. Step 6: Final answer
    x = 10,094.37

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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.