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Finding the Fourth Proportional to 11,920.45, 16,449.90 and 6,542.89

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Solution

The fourth proportional to 11,920.45, 16,449.90 and 6,542.89 is: 9,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.45 : 16,449.90 = 6,542.89 : x
  2. Step 2: Convert to fraction form
    11,920.45/16,449.90 = 6,542.89/x
  3. Step 3: Cross multiply
    11,920.45x = 16,449.90 × 6,542.89
  4. Step 4: Simplify right side
    11,920.45x = 107,629,852.88
  5. Step 5: Solve for x
    x = 107,629,852.88/11,920.45
  6. Step 6: Final answer
    x = 9,029.01

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