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Finding the Fourth Proportional to 7,737.14, 10,680.03 and 4,593.33

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Solution

The fourth proportional to 7,737.14, 10,680.03 and 4,593.33 is: 6,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.14 : 10,680.03 = 4,593.33 : x
  2. Step 2: Convert to fraction form
    7,737.14/10,680.03 = 4,593.33/x
  3. Step 3: Cross multiply
    7,737.14x = 10,680.03 × 4,593.33
  4. Step 4: Simplify right side
    7,737.14x = 49,056,902.20
  5. Step 5: Solve for x
    x = 49,056,902.20/7,737.14
  6. Step 6: Final answer
    x = 6,340.44

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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.