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Finding the Fourth Proportional to 7,836.20, 10,807.92 and 5,446.14

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Solution

The fourth proportional to 7,836.20, 10,807.92 and 5,446.14 is: 7,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.20 : 10,807.92 = 5,446.14 : x
  2. Step 2: Convert to fraction form
    7,836.20/10,807.92 = 5,446.14/x
  3. Step 3: Cross multiply
    7,836.20x = 10,807.92 × 5,446.14
  4. Step 4: Simplify right side
    7,836.20x = 58,861,418.20
  5. Step 5: Solve for x
    x = 58,861,418.20/7,836.20
  6. Step 6: Final answer
    x = 7,511.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.