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Finding the Fourth Proportional to 7,606.96, 11,411.99 and 3,224.41

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Solution

The fourth proportional to 7,606.96, 11,411.99 and 3,224.41 is: 4,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.96 : 11,411.99 = 3,224.41 : x
  2. Step 2: Convert to fraction form
    7,606.96/11,411.99 = 3,224.41/x
  3. Step 3: Cross multiply
    7,606.96x = 11,411.99 × 3,224.41
  4. Step 4: Simplify right side
    7,606.96x = 36,796,902.12
  5. Step 5: Solve for x
    x = 36,796,902.12/7,606.96
  6. Step 6: Final answer
    x = 4,837.27

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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.