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Finding the Fourth Proportional to 7,737.67, 10,677.91 and 4,200.80

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Solution

The fourth proportional to 7,737.67, 10,677.91 and 4,200.80 is: 5,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.67 : 10,677.91 = 4,200.80 : x
  2. Step 2: Convert to fraction form
    7,737.67/10,677.91 = 4,200.80/x
  3. Step 3: Cross multiply
    7,737.67x = 10,677.91 × 4,200.80
  4. Step 4: Simplify right side
    7,737.67x = 44,855,764.33
  5. Step 5: Solve for x
    x = 44,855,764.33/7,737.67
  6. Step 6: Final answer
    x = 5,797.06

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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.