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Finding the Fourth Proportional to 7,737.62, 10,677.96 and 4,200.86

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Solution

The fourth proportional to 7,737.62, 10,677.96 and 4,200.86 is: 5,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.62 : 10,677.96 = 4,200.86 : x
  2. Step 2: Convert to fraction form
    7,737.62/10,677.96 = 4,200.86/x
  3. Step 3: Cross multiply
    7,737.62x = 10,677.96 × 4,200.86
  4. Step 4: Simplify right side
    7,737.62x = 44,856,615.05
  5. Step 5: Solve for x
    x = 44,856,615.05/7,737.62
  6. Step 6: Final answer
    x = 5,797.21

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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.