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Finding the Fourth Proportional to 11,751.43, 17,617.89 and 5,824.24

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Solution

The fourth proportional to 11,751.43, 17,617.89 and 5,824.24 is: 8,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.43 : 17,617.89 = 5,824.24 : x
  2. Step 2: Convert to fraction form
    11,751.43/17,617.89 = 5,824.24/x
  3. Step 3: Cross multiply
    11,751.43x = 17,617.89 × 5,824.24
  4. Step 4: Simplify right side
    11,751.43x = 102,610,731.56
  5. Step 5: Solve for x
    x = 102,610,731.56/11,751.43
  6. Step 6: Final answer
    x = 8,731.77

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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.