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Finding the Fourth Proportional to 7,634.12, 11,451.18 and 7,226.60

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Solution

The fourth proportional to 7,634.12, 11,451.18 and 7,226.60 is: 10,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.12 : 11,451.18 = 7,226.60 : x
  2. Step 2: Convert to fraction form
    7,634.12/11,451.18 = 7,226.60/x
  3. Step 3: Cross multiply
    7,634.12x = 11,451.18 × 7,226.60
  4. Step 4: Simplify right side
    7,634.12x = 82,753,097.39
  5. Step 5: Solve for x
    x = 82,753,097.39/7,634.12
  6. Step 6: Final answer
    x = 10,839.90

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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.