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Finding the Fourth Proportional to 7,616.20, 11,424.30 and 6,809.80

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Solution

The fourth proportional to 7,616.20, 11,424.30 and 6,809.80 is: 10,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.20 : 11,424.30 = 6,809.80 : x
  2. Step 2: Convert to fraction form
    7,616.20/11,424.30 = 6,809.80/x
  3. Step 3: Cross multiply
    7,616.20x = 11,424.30 × 6,809.80
  4. Step 4: Simplify right side
    7,616.20x = 77,797,198.14
  5. Step 5: Solve for x
    x = 77,797,198.14/7,616.20
  6. Step 6: Final answer
    x = 10,214.70

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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.