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Finding the Fourth Proportional to 8,450.52, 11,659.74 and 5,092.44

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Solution

The fourth proportional to 8,450.52, 11,659.74 and 5,092.44 is: 7,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.52 : 11,659.74 = 5,092.44 : x
  2. Step 2: Convert to fraction form
    8,450.52/11,659.74 = 5,092.44/x
  3. Step 3: Cross multiply
    8,450.52x = 11,659.74 × 5,092.44
  4. Step 4: Simplify right side
    8,450.52x = 59,376,526.37
  5. Step 5: Solve for x
    x = 59,376,526.37/8,450.52
  6. Step 6: Final answer
    x = 7,026.38

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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.