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Finding the Fourth Proportional to 7,737.98, 11,611.22 and 3,355.47

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Solution

The fourth proportional to 7,737.98, 11,611.22 and 3,355.47 is: 5,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.98 : 11,611.22 = 3,355.47 : x
  2. Step 2: Convert to fraction form
    7,737.98/11,611.22 = 3,355.47/x
  3. Step 3: Cross multiply
    7,737.98x = 11,611.22 × 3,355.47
  4. Step 4: Simplify right side
    7,737.98x = 38,961,083.60
  5. Step 5: Solve for x
    x = 38,961,083.60/7,737.98
  6. Step 6: Final answer
    x = 5,035.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.