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Finding the Fourth Proportional to 8,510, 11,743.92 and 5,198

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Solution

The fourth proportional to 8,510, 11,743.92 and 5,198 is: 7,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510 : 11,743.92 = 5,198 : x
  2. Step 2: Convert to fraction form
    8,510/11,743.92 = 5,198/x
  3. Step 3: Cross multiply
    8,510x = 11,743.92 × 5,198
  4. Step 4: Simplify right side
    8,510x = 61,044,896.16
  5. Step 5: Solve for x
    x = 61,044,896.16/8,510
  6. Step 6: Final answer
    x = 7,173.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.