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Finding the Fourth Proportional to 8,192.54, 11,296.95 and 5,393.18

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Solution

The fourth proportional to 8,192.54, 11,296.95 and 5,393.18 is: 7,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.54 : 11,296.95 = 5,393.18 : x
  2. Step 2: Convert to fraction form
    8,192.54/11,296.95 = 5,393.18/x
  3. Step 3: Cross multiply
    8,192.54x = 11,296.95 × 5,393.18
  4. Step 4: Simplify right side
    8,192.54x = 60,926,484.80
  5. Step 5: Solve for x
    x = 60,926,484.80/8,192.54
  6. Step 6: Final answer
    x = 7,436.82

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