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Finding the Fourth Proportional to 11,797.26, 17,702.10 and 5,227.98

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Solution

The fourth proportional to 11,797.26, 17,702.10 and 5,227.98 is: 7,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.26 : 17,702.10 = 5,227.98 : x
  2. Step 2: Convert to fraction form
    11,797.26/17,702.10 = 5,227.98/x
  3. Step 3: Cross multiply
    11,797.26x = 17,702.10 × 5,227.98
  4. Step 4: Simplify right side
    11,797.26x = 92,546,224.76
  5. Step 5: Solve for x
    x = 92,546,224.76/11,797.26
  6. Step 6: Final answer
    x = 7,844.72

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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.