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Finding the Fourth Proportional to 10,806.81, 14,912.51 and 6,092.25

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Solution

The fourth proportional to 10,806.81, 14,912.51 and 6,092.25 is: 8,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.81 : 14,912.51 = 6,092.25 : x
  2. Step 2: Convert to fraction form
    10,806.81/14,912.51 = 6,092.25/x
  3. Step 3: Cross multiply
    10,806.81x = 14,912.51 × 6,092.25
  4. Step 4: Simplify right side
    10,806.81x = 90,850,708.59
  5. Step 5: Solve for x
    x = 90,850,708.59/10,806.81
  6. Step 6: Final answer
    x = 8,406.80

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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.