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Finding the Fourth Proportional to 11,999.99, 16,559.96 and 6,694.49

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Solution

The fourth proportional to 11,999.99, 16,559.96 and 6,694.49 is: 9,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.99 : 16,559.96 = 6,694.49 : x
  2. Step 2: Convert to fraction form
    11,999.99/16,559.96 = 6,694.49/x
  3. Step 3: Cross multiply
    11,999.99x = 16,559.96 × 6,694.49
  4. Step 4: Simplify right side
    11,999.99x = 110,860,370.35
  5. Step 5: Solve for x
    x = 110,860,370.35/11,999.99
  6. Step 6: Final answer
    x = 9,238.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.