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Finding the Fourth Proportional to 8,093.13, 11,168.63 and 4,737.92

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Solution

The fourth proportional to 8,093.13, 11,168.63 and 4,737.92 is: 6,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.13 : 11,168.63 = 4,737.92 : x
  2. Step 2: Convert to fraction form
    8,093.13/11,168.63 = 4,737.92/x
  3. Step 3: Cross multiply
    8,093.13x = 11,168.63 × 4,737.92
  4. Step 4: Simplify right side
    8,093.13x = 52,915,995.92
  5. Step 5: Solve for x
    x = 52,915,995.92/8,093.13
  6. Step 6: Final answer
    x = 6,538.38

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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.