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Finding the Fourth Proportional to 12,727.06, 17,563.29 and 7,759.06

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Solution

The fourth proportional to 12,727.06, 17,563.29 and 7,759.06 is: 10,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.06 : 17,563.29 = 7,759.06 : x
  2. Step 2: Convert to fraction form
    12,727.06/17,563.29 = 7,759.06/x
  3. Step 3: Cross multiply
    12,727.06x = 17,563.29 × 7,759.06
  4. Step 4: Simplify right side
    12,727.06x = 136,274,620.91
  5. Step 5: Solve for x
    x = 136,274,620.91/12,727.06
  6. Step 6: Final answer
    x = 10,707.47

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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.