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Finding the Fourth Proportional to 6,830.88, 10,247.93 and 2,213.88

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Solution

The fourth proportional to 6,830.88, 10,247.93 and 2,213.88 is: 3,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.88 : 10,247.93 = 2,213.88 : x
  2. Step 2: Convert to fraction form
    6,830.88/10,247.93 = 2,213.88/x
  3. Step 3: Cross multiply
    6,830.88x = 10,247.93 × 2,213.88
  4. Step 4: Simplify right side
    6,830.88x = 22,687,687.27
  5. Step 5: Solve for x
    x = 22,687,687.27/6,830.88
  6. Step 6: Final answer
    x = 3,321.34

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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.