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Finding the Fourth Proportional to 6,807.69, 10,202.03 and 3,680.95

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Solution

The fourth proportional to 6,807.69, 10,202.03 and 3,680.95 is: 5,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.69 : 10,202.03 = 3,680.95 : x
  2. Step 2: Convert to fraction form
    6,807.69/10,202.03 = 3,680.95/x
  3. Step 3: Cross multiply
    6,807.69x = 10,202.03 × 3,680.95
  4. Step 4: Simplify right side
    6,807.69x = 37,553,143.92
  5. Step 5: Solve for x
    x = 37,553,143.92/6,807.69
  6. Step 6: Final answer
    x = 5,516.29

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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.