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Finding the Fourth Proportional to 6,820.10, 10,227.17 and 3,440.82

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Solution

The fourth proportional to 6,820.10, 10,227.17 and 3,440.82 is: 5,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.10 : 10,227.17 = 3,440.82 : x
  2. Step 2: Convert to fraction form
    6,820.10/10,227.17 = 3,440.82/x
  3. Step 3: Cross multiply
    6,820.10x = 10,227.17 × 3,440.82
  4. Step 4: Simplify right side
    6,820.10x = 35,189,819.18
  5. Step 5: Solve for x
    x = 35,189,819.18/6,820.10
  6. Step 6: Final answer
    x = 5,159.72

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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.