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Finding the Fourth Proportional to 6,720.62, 10,082.01 and 2,826.14

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Solution

The fourth proportional to 6,720.62, 10,082.01 and 2,826.14 is: 4,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.62 : 10,082.01 = 2,826.14 : x
  2. Step 2: Convert to fraction form
    6,720.62/10,082.01 = 2,826.14/x
  3. Step 3: Cross multiply
    6,720.62x = 10,082.01 × 2,826.14
  4. Step 4: Simplify right side
    6,720.62x = 28,493,171.74
  5. Step 5: Solve for x
    x = 28,493,171.74/6,720.62
  6. Step 6: Final answer
    x = 4,239.66

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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.