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Finding the Fourth Proportional to 7,633.73, 11,452.11 and 2,706.86

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Solution

The fourth proportional to 7,633.73, 11,452.11 and 2,706.86 is: 4,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.73 : 11,452.11 = 2,706.86 : x
  2. Step 2: Convert to fraction form
    7,633.73/11,452.11 = 2,706.86/x
  3. Step 3: Cross multiply
    7,633.73x = 11,452.11 × 2,706.86
  4. Step 4: Simplify right side
    7,633.73x = 30,999,201.21
  5. Step 5: Solve for x
    x = 30,999,201.21/7,633.73
  6. Step 6: Final answer
    x = 4,060.82

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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.