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Finding the Fourth Proportional to 12,694.06, 17,515.72 and 7,975

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Solution

The fourth proportional to 12,694.06, 17,515.72 and 7,975 is: 11,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.06 : 17,515.72 = 7,975 : x
  2. Step 2: Convert to fraction form
    12,694.06/17,515.72 = 7,975/x
  3. Step 3: Cross multiply
    12,694.06x = 17,515.72 × 7,975
  4. Step 4: Simplify right side
    12,694.06x = 139,687,867
  5. Step 5: Solve for x
    x = 139,687,867/12,694.06
  6. Step 6: Final answer
    x = 11,004.19

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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.