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Finding the Fourth Proportional to 10,268.75, 14,170.06 and 5,791.07

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Solution

The fourth proportional to 10,268.75, 14,170.06 and 5,791.07 is: 7,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.75 : 14,170.06 = 5,791.07 : x
  2. Step 2: Convert to fraction form
    10,268.75/14,170.06 = 5,791.07/x
  3. Step 3: Cross multiply
    10,268.75x = 14,170.06 × 5,791.07
  4. Step 4: Simplify right side
    10,268.75x = 82,059,809.36
  5. Step 5: Solve for x
    x = 82,059,809.36/10,268.75
  6. Step 6: Final answer
    x = 7,991.22

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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.