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Finding the Fourth Proportional to 11,737.62, 17,596.80 and 5,494.59

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Solution

The fourth proportional to 11,737.62, 17,596.80 and 5,494.59 is: 8,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.62 : 17,596.80 = 5,494.59 : x
  2. Step 2: Convert to fraction form
    11,737.62/17,596.80 = 5,494.59/x
  3. Step 3: Cross multiply
    11,737.62x = 17,596.80 × 5,494.59
  4. Step 4: Simplify right side
    11,737.62x = 96,687,201.31
  5. Step 5: Solve for x
    x = 96,687,201.31/11,737.62
  6. Step 6: Final answer
    x = 8,237.38

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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.