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Finding the Fourth Proportional to 7,174.20, 10,762.11 and 3,478.44

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Solution

The fourth proportional to 7,174.20, 10,762.11 and 3,478.44 is: 5,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.20 : 10,762.11 = 3,478.44 : x
  2. Step 2: Convert to fraction form
    7,174.20/10,762.11 = 3,478.44/x
  3. Step 3: Cross multiply
    7,174.20x = 10,762.11 × 3,478.44
  4. Step 4: Simplify right side
    7,174.20x = 37,435,353.91
  5. Step 5: Solve for x
    x = 37,435,353.91/7,174.20
  6. Step 6: Final answer
    x = 5,218.05

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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.