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Finding the Fourth Proportional to 10,808.38, 14,912.94 and 6,092.65

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Solution

The fourth proportional to 10,808.38, 14,912.94 and 6,092.65 is: 8,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.38 : 14,912.94 = 6,092.65 : x
  2. Step 2: Convert to fraction form
    10,808.38/14,912.94 = 6,092.65/x
  3. Step 3: Cross multiply
    10,808.38x = 14,912.94 × 6,092.65
  4. Step 4: Simplify right side
    10,808.38x = 90,859,323.89
  5. Step 5: Solve for x
    x = 90,859,323.89/10,808.38
  6. Step 6: Final answer
    x = 8,406.38

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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.