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Finding the Fourth Proportional to 11,596.98, 17,395.47 and 4,199.73

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Solution

The fourth proportional to 11,596.98, 17,395.47 and 4,199.73 is: 6,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.98 : 17,395.47 = 4,199.73 : x
  2. Step 2: Convert to fraction form
    11,596.98/17,395.47 = 4,199.73/x
  3. Step 3: Cross multiply
    11,596.98x = 17,395.47 × 4,199.73
  4. Step 4: Simplify right side
    11,596.98x = 73,056,190.25
  5. Step 5: Solve for x
    x = 73,056,190.25/11,596.98
  6. Step 6: Final answer
    x = 6,299.59

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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.