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Finding the Fourth Proportional to 7,628.52, 11,441.84 and 3,464.12

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Solution

The fourth proportional to 7,628.52, 11,441.84 and 3,464.12 is: 5,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.52 : 11,441.84 = 3,464.12 : x
  2. Step 2: Convert to fraction form
    7,628.52/11,441.84 = 3,464.12/x
  3. Step 3: Cross multiply
    7,628.52x = 11,441.84 × 3,464.12
  4. Step 4: Simplify right side
    7,628.52x = 39,635,906.78
  5. Step 5: Solve for x
    x = 39,635,906.78/7,628.52
  6. Step 6: Final answer
    x = 5,195.75

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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.