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Finding the Fourth Proportional to 6,872.64, 10,310.26 and 2,368.50

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Solution

The fourth proportional to 6,872.64, 10,310.26 and 2,368.50 is: 3,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.64 : 10,310.26 = 2,368.50 : x
  2. Step 2: Convert to fraction form
    6,872.64/10,310.26 = 2,368.50/x
  3. Step 3: Cross multiply
    6,872.64x = 10,310.26 × 2,368.50
  4. Step 4: Simplify right side
    6,872.64x = 24,419,846.33
  5. Step 5: Solve for x
    x = 24,419,846.33/6,872.64
  6. Step 6: Final answer
    x = 3,553.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.