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Finding the Fourth Proportional to 8,517.88, 12,696.28 and 8,101.96

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Solution

The fourth proportional to 8,517.88, 12,696.28 and 8,101.96 is: 12,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.88 : 12,696.28 = 8,101.96 : x
  2. Step 2: Convert to fraction form
    8,517.88/12,696.28 = 8,101.96/x
  3. Step 3: Cross multiply
    8,517.88x = 12,696.28 × 8,101.96
  4. Step 4: Simplify right side
    8,517.88x = 102,864,752.71
  5. Step 5: Solve for x
    x = 102,864,752.71/8,517.88
  6. Step 6: Final answer
    x = 12,076.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.