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Finding the Fourth Proportional to 10,100.97, 13,893.03 and 8,107.16

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Solution

The fourth proportional to 10,100.97, 13,893.03 and 8,107.16 is: 11,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.97 : 13,893.03 = 8,107.16 : x
  2. Step 2: Convert to fraction form
    10,100.97/13,893.03 = 8,107.16/x
  3. Step 3: Cross multiply
    10,100.97x = 13,893.03 × 8,107.16
  4. Step 4: Simplify right side
    10,100.97x = 112,632,947.63
  5. Step 5: Solve for x
    x = 112,632,947.63/10,100.97
  6. Step 6: Final answer
    x = 11,150.71

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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.