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Finding the Fourth Proportional to 10,336.92, 14,268.22 and 5,863.66

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Solution

The fourth proportional to 10,336.92, 14,268.22 and 5,863.66 is: 8,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.92 : 14,268.22 = 5,863.66 : x
  2. Step 2: Convert to fraction form
    10,336.92/14,268.22 = 5,863.66/x
  3. Step 3: Cross multiply
    10,336.92x = 14,268.22 × 5,863.66
  4. Step 4: Simplify right side
    10,336.92x = 83,663,990.89
  5. Step 5: Solve for x
    x = 83,663,990.89/10,336.92
  6. Step 6: Final answer
    x = 8,093.71

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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.