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Finding the Fourth Proportional to 8,186.76, 11,304.09 and 6,295.41

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Solution

The fourth proportional to 8,186.76, 11,304.09 and 6,295.41 is: 8,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.76 : 11,304.09 = 6,295.41 : x
  2. Step 2: Convert to fraction form
    8,186.76/11,304.09 = 6,295.41/x
  3. Step 3: Cross multiply
    8,186.76x = 11,304.09 × 6,295.41
  4. Step 4: Simplify right side
    8,186.76x = 71,163,881.23
  5. Step 5: Solve for x
    x = 71,163,881.23/8,186.76
  6. Step 6: Final answer
    x = 8,692.56

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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.