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Finding the Fourth Proportional to 6,838.77, 10,229.00 and 4,199.79

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Solution

The fourth proportional to 6,838.77, 10,229.00 and 4,199.79 is: 6,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.77 : 10,229.00 = 4,199.79 : x
  2. Step 2: Convert to fraction form
    6,838.77/10,229.00 = 4,199.79/x
  3. Step 3: Cross multiply
    6,838.77x = 10,229.00 × 4,199.79
  4. Step 4: Simplify right side
    6,838.77x = 42,959,630.91
  5. Step 5: Solve for x
    x = 42,959,630.91/6,838.77
  6. Step 6: Final answer
    x = 6,281.78

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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.