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Finding the Fourth Proportional to 8,192.04, 11,296.26 and 5,392.68

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Solution

The fourth proportional to 8,192.04, 11,296.26 and 5,392.68 is: 7,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.04 : 11,296.26 = 5,392.68 : x
  2. Step 2: Convert to fraction form
    8,192.04/11,296.26 = 5,392.68/x
  3. Step 3: Cross multiply
    8,192.04x = 11,296.26 × 5,392.68
  4. Step 4: Simplify right side
    8,192.04x = 60,917,115.38
  5. Step 5: Solve for x
    x = 60,917,115.38/8,192.04
  6. Step 6: Final answer
    x = 7,436.14

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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.