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Finding the Fourth Proportional to 6,827.90, 10,234.81 and 4,949.22

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Solution

The fourth proportional to 6,827.90, 10,234.81 and 4,949.22 is: 7,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.90 : 10,234.81 = 4,949.22 : x
  2. Step 2: Convert to fraction form
    6,827.90/10,234.81 = 4,949.22/x
  3. Step 3: Cross multiply
    6,827.90x = 10,234.81 × 4,949.22
  4. Step 4: Simplify right side
    6,827.90x = 50,654,326.35
  5. Step 5: Solve for x
    x = 50,654,326.35/6,827.90
  6. Step 6: Final answer
    x = 7,418.73

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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.