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Finding the Fourth Proportional to 11,923, 16,454.72 and 6,618.32

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Solution

The fourth proportional to 11,923, 16,454.72 and 6,618.32 is: 9,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923 : 16,454.72 = 6,618.32 : x
  2. Step 2: Convert to fraction form
    11,923/16,454.72 = 6,618.32/x
  3. Step 3: Cross multiply
    11,923x = 16,454.72 × 6,618.32
  4. Step 4: Simplify right side
    11,923x = 108,902,602.47
  5. Step 5: Solve for x
    x = 108,902,602.47/11,923
  6. Step 6: Final answer
    x = 9,133.83

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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.