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Finding the Fourth Proportional to 11,162.22, 16,704.57 and 6,943.74

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Solution

The fourth proportional to 11,162.22, 16,704.57 and 6,943.74 is: 10,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.22 : 16,704.57 = 6,943.74 : x
  2. Step 2: Convert to fraction form
    11,162.22/16,704.57 = 6,943.74/x
  3. Step 3: Cross multiply
    11,162.22x = 16,704.57 × 6,943.74
  4. Step 4: Simplify right side
    11,162.22x = 115,992,190.89
  5. Step 5: Solve for x
    x = 115,992,190.89/11,162.22
  6. Step 6: Final answer
    x = 10,391.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.