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Finding the Fourth Proportional to 7,693.25, 11,534.94 and 3,249.71

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Solution

The fourth proportional to 7,693.25, 11,534.94 and 3,249.71 is: 4,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.25 : 11,534.94 = 3,249.71 : x
  2. Step 2: Convert to fraction form
    7,693.25/11,534.94 = 3,249.71/x
  3. Step 3: Cross multiply
    7,693.25x = 11,534.94 × 3,249.71
  4. Step 4: Simplify right side
    7,693.25x = 37,485,181.03
  5. Step 5: Solve for x
    x = 37,485,181.03/7,693.25
  6. Step 6: Final answer
    x = 4,872.48

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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.