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Finding the Fourth Proportional to 6,818.88, 10,208.72 and 4,204.20

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Solution

The fourth proportional to 6,818.88, 10,208.72 and 4,204.20 is: 6,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.88 : 10,208.72 = 4,204.20 : x
  2. Step 2: Convert to fraction form
    6,818.88/10,208.72 = 4,204.20/x
  3. Step 3: Cross multiply
    6,818.88x = 10,208.72 × 4,204.20
  4. Step 4: Simplify right side
    6,818.88x = 42,919,500.62
  5. Step 5: Solve for x
    x = 42,919,500.62/6,818.88
  6. Step 6: Final answer
    x = 6,294.22

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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.