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Finding the Fourth Proportional to 7,388.20, 11,082.30 and 6,586.30

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Solution

The fourth proportional to 7,388.20, 11,082.30 and 6,586.30 is: 9,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.20 : 11,082.30 = 6,586.30 : x
  2. Step 2: Convert to fraction form
    7,388.20/11,082.30 = 6,586.30/x
  3. Step 3: Cross multiply
    7,388.20x = 11,082.30 × 6,586.30
  4. Step 4: Simplify right side
    7,388.20x = 72,991,352.49
  5. Step 5: Solve for x
    x = 72,991,352.49/7,388.20
  6. Step 6: Final answer
    x = 9,879.45

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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.