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Finding the Fourth Proportional to 10,229.22, 14,116.64 and 5,753.39

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Solution

The fourth proportional to 10,229.22, 14,116.64 and 5,753.39 is: 7,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.22 : 14,116.64 = 5,753.39 : x
  2. Step 2: Convert to fraction form
    10,229.22/14,116.64 = 5,753.39/x
  3. Step 3: Cross multiply
    10,229.22x = 14,116.64 × 5,753.39
  4. Step 4: Simplify right side
    10,229.22x = 81,218,436.06
  5. Step 5: Solve for x
    x = 81,218,436.06/10,229.22
  6. Step 6: Final answer
    x = 7,939.85

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Why These Related Problems?

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