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Finding the Fourth Proportional to 10,694.92, 16,042.38 and 4,124.20

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Solution

The fourth proportional to 10,694.92, 16,042.38 and 4,124.20 is: 6,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.92 : 16,042.38 = 4,124.20 : x
  2. Step 2: Convert to fraction form
    10,694.92/16,042.38 = 4,124.20/x
  3. Step 3: Cross multiply
    10,694.92x = 16,042.38 × 4,124.20
  4. Step 4: Simplify right side
    10,694.92x = 66,161,983.60
  5. Step 5: Solve for x
    x = 66,161,983.60/10,694.92
  6. Step 6: Final answer
    x = 6,186.30

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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.