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Finding the Fourth Proportional to 6,803.69, 10,205.52 and 4,463.15

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Solution

The fourth proportional to 6,803.69, 10,205.52 and 4,463.15 is: 6,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.69 : 10,205.52 = 4,463.15 : x
  2. Step 2: Convert to fraction form
    6,803.69/10,205.52 = 4,463.15/x
  3. Step 3: Cross multiply
    6,803.69x = 10,205.52 × 4,463.15
  4. Step 4: Simplify right side
    6,803.69x = 45,548,715.56
  5. Step 5: Solve for x
    x = 45,548,715.56/6,803.69
  6. Step 6: Final answer
    x = 6,694.71

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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.