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Finding the Fourth Proportional to 11,998.50, 18,004.23 and 5,842.50

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Solution

The fourth proportional to 11,998.50, 18,004.23 and 5,842.50 is: 8,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.50 : 18,004.23 = 5,842.50 : x
  2. Step 2: Convert to fraction form
    11,998.50/18,004.23 = 5,842.50/x
  3. Step 3: Cross multiply
    11,998.50x = 18,004.23 × 5,842.50
  4. Step 4: Simplify right side
    11,998.50x = 105,189,713.78
  5. Step 5: Solve for x
    x = 105,189,713.78/11,998.50
  6. Step 6: Final answer
    x = 8,766.91

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Why These Related Problems?

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