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Finding the Fourth Proportional to 7,737.25, 10,678.76 and 4,593.37

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Solution

The fourth proportional to 7,737.25, 10,678.76 and 4,593.37 is: 6,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.25 : 10,678.76 = 4,593.37 : x
  2. Step 2: Convert to fraction form
    7,737.25/10,678.76 = 4,593.37/x
  3. Step 3: Cross multiply
    7,737.25x = 10,678.76 × 4,593.37
  4. Step 4: Simplify right side
    7,737.25x = 49,051,472.85
  5. Step 5: Solve for x
    x = 49,051,472.85/7,737.25
  6. Step 6: Final answer
    x = 6,339.65

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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.