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Finding the Fourth Proportional to 7,633.76, 11,450.49 and 2,439.63

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Solution

The fourth proportional to 7,633.76, 11,450.49 and 2,439.63 is: 3,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.76 : 11,450.49 = 2,439.63 : x
  2. Step 2: Convert to fraction form
    7,633.76/11,450.49 = 2,439.63/x
  3. Step 3: Cross multiply
    7,633.76x = 11,450.49 × 2,439.63
  4. Step 4: Simplify right side
    7,633.76x = 27,934,958.92
  5. Step 5: Solve for x
    x = 27,934,958.92/7,633.76
  6. Step 6: Final answer
    x = 3,659.40

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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.