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Finding the Fourth Proportional to 7,634.64, 11,451.83 and 3,255.11

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Solution

The fourth proportional to 7,634.64, 11,451.83 and 3,255.11 is: 4,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.64 : 11,451.83 = 3,255.11 : x
  2. Step 2: Convert to fraction form
    7,634.64/11,451.83 = 3,255.11/x
  3. Step 3: Cross multiply
    7,634.64x = 11,451.83 × 3,255.11
  4. Step 4: Simplify right side
    7,634.64x = 37,276,892.82
  5. Step 5: Solve for x
    x = 37,276,892.82/7,634.64
  6. Step 6: Final answer
    x = 4,882.60

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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.