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Finding the Fourth Proportional to 8,092.24, 12,141.28 and 2,828.03

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Solution

The fourth proportional to 8,092.24, 12,141.28 and 2,828.03 is: 4,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.24 : 12,141.28 = 2,828.03 : x
  2. Step 2: Convert to fraction form
    8,092.24/12,141.28 = 2,828.03/x
  3. Step 3: Cross multiply
    8,092.24x = 12,141.28 × 2,828.03
  4. Step 4: Simplify right side
    8,092.24x = 34,335,904.08
  5. Step 5: Solve for x
    x = 34,335,904.08/8,092.24
  6. Step 6: Final answer
    x = 4,243.07

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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.