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Finding the Fourth Proportional to 7,406.20, 11,082.30 and 5,462.20

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Solution

The fourth proportional to 7,406.20, 11,082.30 and 5,462.20 is: 8,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.20 : 11,082.30 = 5,462.20 : x
  2. Step 2: Convert to fraction form
    7,406.20/11,082.30 = 5,462.20/x
  3. Step 3: Cross multiply
    7,406.20x = 11,082.30 × 5,462.20
  4. Step 4: Simplify right side
    7,406.20x = 60,533,739.06
  5. Step 5: Solve for x
    x = 60,533,739.06/7,406.20
  6. Step 6: Final answer
    x = 8,173.39

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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.