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Finding the Fourth Proportional to 7,633.92, 11,451.68 and 2,440

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Solution

The fourth proportional to 7,633.92, 11,451.68 and 2,440 is: 3,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.92 : 11,451.68 = 2,440 : x
  2. Step 2: Convert to fraction form
    7,633.92/11,451.68 = 2,440/x
  3. Step 3: Cross multiply
    7,633.92x = 11,451.68 × 2,440
  4. Step 4: Simplify right side
    7,633.92x = 27,942,099.20
  5. Step 5: Solve for x
    x = 27,942,099.20/7,633.92
  6. Step 6: Final answer
    x = 3,660.26

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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.