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Finding the Fourth Proportional to 6,830.80, 10,246.08 and 2,213.80

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Solution

The fourth proportional to 6,830.80, 10,246.08 and 2,213.80 is: 3,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.80 : 10,246.08 = 2,213.80 : x
  2. Step 2: Convert to fraction form
    6,830.80/10,246.08 = 2,213.80/x
  3. Step 3: Cross multiply
    6,830.80x = 10,246.08 × 2,213.80
  4. Step 4: Simplify right side
    6,830.80x = 22,682,771.90
  5. Step 5: Solve for x
    x = 22,682,771.90/6,830.80
  6. Step 6: Final answer
    x = 3,320.66

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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.