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Finding the Fourth Proportional to 11,333.97, 15,640.87 and 6,229.45

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Solution

The fourth proportional to 11,333.97, 15,640.87 and 6,229.45 is: 8,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.97 : 15,640.87 = 6,229.45 : x
  2. Step 2: Convert to fraction form
    11,333.97/15,640.87 = 6,229.45/x
  3. Step 3: Cross multiply
    11,333.97x = 15,640.87 × 6,229.45
  4. Step 4: Simplify right side
    11,333.97x = 97,433,908.27
  5. Step 5: Solve for x
    x = 97,433,908.27/11,333.97
  6. Step 6: Final answer
    x = 8,596.63

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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.