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Finding the Fourth Proportional to 6,709.20, 10,057.40 and 5,227.60

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Solution

The fourth proportional to 6,709.20, 10,057.40 and 5,227.60 is: 7,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.20 : 10,057.40 = 5,227.60 : x
  2. Step 2: Convert to fraction form
    6,709.20/10,057.40 = 5,227.60/x
  3. Step 3: Cross multiply
    6,709.20x = 10,057.40 × 5,227.60
  4. Step 4: Simplify right side
    6,709.20x = 52,576,064.24
  5. Step 5: Solve for x
    x = 52,576,064.24/6,709.20
  6. Step 6: Final answer
    x = 7,836.41

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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.