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Finding the Fourth Proportional to 11,996.25, 18,000.86 and 5,840.25

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Solution

The fourth proportional to 11,996.25, 18,000.86 and 5,840.25 is: 8,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.25 : 18,000.86 = 5,840.25 : x
  2. Step 2: Convert to fraction form
    11,996.25/18,000.86 = 5,840.25/x
  3. Step 3: Cross multiply
    11,996.25x = 18,000.86 × 5,840.25
  4. Step 4: Simplify right side
    11,996.25x = 105,129,493.41
  5. Step 5: Solve for x
    x = 105,129,493.41/11,996.25
  6. Step 6: Final answer
    x = 8,763.53

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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.