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Finding the Fourth Proportional to 6,807.92, 10,195.68 and 4,202.96

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Solution

The fourth proportional to 6,807.92, 10,195.68 and 4,202.96 is: 6,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.92 : 10,195.68 = 4,202.96 : x
  2. Step 2: Convert to fraction form
    6,807.92/10,195.68 = 4,202.96/x
  3. Step 3: Cross multiply
    6,807.92x = 10,195.68 × 4,202.96
  4. Step 4: Simplify right side
    6,807.92x = 42,852,035.21
  5. Step 5: Solve for x
    x = 42,852,035.21/6,807.92
  6. Step 6: Final answer
    x = 6,294.44

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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.