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Finding the Fourth Proportional to 8,192.28, 12,288.42 and 2,036.28

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Solution

The fourth proportional to 8,192.28, 12,288.42 and 2,036.28 is: 3,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.28 : 12,288.42 = 2,036.28 : x
  2. Step 2: Convert to fraction form
    8,192.28/12,288.42 = 2,036.28/x
  3. Step 3: Cross multiply
    8,192.28x = 12,288.42 × 2,036.28
  4. Step 4: Simplify right side
    8,192.28x = 25,022,663.88
  5. Step 5: Solve for x
    x = 25,022,663.88/8,192.28
  6. Step 6: Final answer
    x = 3,054.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.