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Finding the Fourth Proportional to 10,694.92, 14,760.26 and 6,218.65

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Solution

The fourth proportional to 10,694.92, 14,760.26 and 6,218.65 is: 8,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.92 : 14,760.26 = 6,218.65 : x
  2. Step 2: Convert to fraction form
    10,694.92/14,760.26 = 6,218.65/x
  3. Step 3: Cross multiply
    10,694.92x = 14,760.26 × 6,218.65
  4. Step 4: Simplify right side
    10,694.92x = 91,788,940.30
  5. Step 5: Solve for x
    x = 91,788,940.30/10,694.92
  6. Step 6: Final answer
    x = 8,582.48

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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.