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Finding the Fourth Proportional to 10,213.92, 14,093.37 and 5,737.86

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Solution

The fourth proportional to 10,213.92, 14,093.37 and 5,737.86 is: 7,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.92 : 14,093.37 = 5,737.86 : x
  2. Step 2: Convert to fraction form
    10,213.92/14,093.37 = 5,737.86/x
  3. Step 3: Cross multiply
    10,213.92x = 14,093.37 × 5,737.86
  4. Step 4: Simplify right side
    10,213.92x = 80,865,783.99
  5. Step 5: Solve for x
    x = 80,865,783.99/10,213.92
  6. Step 6: Final answer
    x = 7,917.21

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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.