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Finding the Fourth Proportional to 7,454.20, 11,165.10 and 5,996.20

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Solution

The fourth proportional to 7,454.20, 11,165.10 and 5,996.20 is: 8,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.20 : 11,165.10 = 5,996.20 : x
  2. Step 2: Convert to fraction form
    7,454.20/11,165.10 = 5,996.20/x
  3. Step 3: Cross multiply
    7,454.20x = 11,165.10 × 5,996.20
  4. Step 4: Simplify right side
    7,454.20x = 66,948,172.62
  5. Step 5: Solve for x
    x = 66,948,172.62/7,454.20
  6. Step 6: Final answer
    x = 8,981.27

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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.