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Finding the Fourth Proportional to 6,841.33, 10,247.14 and 4,200.82

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Solution

The fourth proportional to 6,841.33, 10,247.14 and 4,200.82 is: 6,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.33 : 10,247.14 = 4,200.82 : x
  2. Step 2: Convert to fraction form
    6,841.33/10,247.14 = 4,200.82/x
  3. Step 3: Cross multiply
    6,841.33x = 10,247.14 × 4,200.82
  4. Step 4: Simplify right side
    6,841.33x = 43,046,401.16
  5. Step 5: Solve for x
    x = 43,046,401.16/6,841.33
  6. Step 6: Final answer
    x = 6,292.11

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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.