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Finding the Fourth Proportional to 7,674.91, 11,512.37 and 3,061.15

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Solution

The fourth proportional to 7,674.91, 11,512.37 and 3,061.15 is: 4,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.91 : 11,512.37 = 3,061.15 : x
  2. Step 2: Convert to fraction form
    7,674.91/11,512.37 = 3,061.15/x
  3. Step 3: Cross multiply
    7,674.91x = 11,512.37 × 3,061.15
  4. Step 4: Simplify right side
    7,674.91x = 35,241,091.43
  5. Step 5: Solve for x
    x = 35,241,091.43/7,674.91
  6. Step 6: Final answer
    x = 4,591.73

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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.