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Finding the Fourth Proportional to 11,924.30, 16,454.94 and 6,546.60

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Solution

The fourth proportional to 11,924.30, 16,454.94 and 6,546.60 is: 9,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.30 : 16,454.94 = 6,546.60 : x
  2. Step 2: Convert to fraction form
    11,924.30/16,454.94 = 6,546.60/x
  3. Step 3: Cross multiply
    11,924.30x = 16,454.94 × 6,546.60
  4. Step 4: Simplify right side
    11,924.30x = 107,723,910.20
  5. Step 5: Solve for x
    x = 107,723,910.20/11,924.30
  6. Step 6: Final answer
    x = 9,033.99

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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.