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Finding the Fourth Proportional to 8,046.29, 11,092.25 and 5,648.97

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Solution

The fourth proportional to 8,046.29, 11,092.25 and 5,648.97 is: 7,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.29 : 11,092.25 = 5,648.97 : x
  2. Step 2: Convert to fraction form
    8,046.29/11,092.25 = 5,648.97/x
  3. Step 3: Cross multiply
    8,046.29x = 11,092.25 × 5,648.97
  4. Step 4: Simplify right side
    8,046.29x = 62,659,787.48
  5. Step 5: Solve for x
    x = 62,659,787.48/8,046.29
  6. Step 6: Final answer
    x = 7,787.41

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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.