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Finding the Fourth Proportional to 12,382.57, 17,087.88 and 6,717.43

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Solution

The fourth proportional to 12,382.57, 17,087.88 and 6,717.43 is: 9,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.57 : 17,087.88 = 6,717.43 : x
  2. Step 2: Convert to fraction form
    12,382.57/17,087.88 = 6,717.43/x
  3. Step 3: Cross multiply
    12,382.57x = 17,087.88 × 6,717.43
  4. Step 4: Simplify right side
    12,382.57x = 114,786,637.75
  5. Step 5: Solve for x
    x = 114,786,637.75/12,382.57
  6. Step 6: Final answer
    x = 9,270.02

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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.