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Finding the Fourth Proportional to 7,737.53, 10,677.77 and 4,200.72

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Solution

The fourth proportional to 7,737.53, 10,677.77 and 4,200.72 is: 5,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.53 : 10,677.77 = 4,200.72 : x
  2. Step 2: Convert to fraction form
    7,737.53/10,677.77 = 4,200.72/x
  3. Step 3: Cross multiply
    7,737.53x = 10,677.77 × 4,200.72
  4. Step 4: Simplify right side
    7,737.53x = 44,854,321.99
  5. Step 5: Solve for x
    x = 44,854,321.99/7,737.53
  6. Step 6: Final answer
    x = 5,796.98

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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.