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Finding the Fourth Proportional to 11,883.62, 16,394.72 and 7,634.09

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Solution

The fourth proportional to 11,883.62, 16,394.72 and 7,634.09 is: 10,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.62 : 16,394.72 = 7,634.09 : x
  2. Step 2: Convert to fraction form
    11,883.62/16,394.72 = 7,634.09/x
  3. Step 3: Cross multiply
    11,883.62x = 16,394.72 × 7,634.09
  4. Step 4: Simplify right side
    11,883.62x = 125,158,768.00
  5. Step 5: Solve for x
    x = 125,158,768.00/11,883.62
  6. Step 6: Final answer
    x = 10,532.04

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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.