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Finding the Fourth Proportional to 10,122.39, 13,963.59 and 8,236.08

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Solution

The fourth proportional to 10,122.39, 13,963.59 and 8,236.08 is: 11,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.39 : 13,963.59 = 8,236.08 : x
  2. Step 2: Convert to fraction form
    10,122.39/13,963.59 = 8,236.08/x
  3. Step 3: Cross multiply
    10,122.39x = 13,963.59 × 8,236.08
  4. Step 4: Simplify right side
    10,122.39x = 115,005,244.33
  5. Step 5: Solve for x
    x = 115,005,244.33/10,122.39
  6. Step 6: Final answer
    x = 11,361.47

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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.