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Finding the Fourth Proportional to 11,798.76, 17,704.35 and 5,229.48

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Solution

The fourth proportional to 11,798.76, 17,704.35 and 5,229.48 is: 7,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.76 : 17,704.35 = 5,229.48 : x
  2. Step 2: Convert to fraction form
    11,798.76/17,704.35 = 5,229.48/x
  3. Step 3: Cross multiply
    11,798.76x = 17,704.35 × 5,229.48
  4. Step 4: Simplify right side
    11,798.76x = 92,584,544.24
  5. Step 5: Solve for x
    x = 92,584,544.24/11,798.76
  6. Step 6: Final answer
    x = 7,846.97

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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.