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Finding the Fourth Proportional to 11,923.80, 16,454.25 and 6,546.10

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Solution

The fourth proportional to 11,923.80, 16,454.25 and 6,546.10 is: 9,033.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.80 : 16,454.25 = 6,546.10 : x
  2. Step 2: Convert to fraction form
    11,923.80/16,454.25 = 6,546.10/x
  3. Step 3: Cross multiply
    11,923.80x = 16,454.25 × 6,546.10
  4. Step 4: Simplify right side
    11,923.80x = 107,711,165.93
  5. Step 5: Solve for x
    x = 107,711,165.93/11,923.80
  6. Step 6: Final answer
    x = 9,033.29

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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.