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Finding the Fourth Proportional to 8,164.21, 11,266.73 and 6,116.49

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Solution

The fourth proportional to 8,164.21, 11,266.73 and 6,116.49 is: 8,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.21 : 11,266.73 = 6,116.49 : x
  2. Step 2: Convert to fraction form
    8,164.21/11,266.73 = 6,116.49/x
  3. Step 3: Cross multiply
    8,164.21x = 11,266.73 × 6,116.49
  4. Step 4: Simplify right side
    8,164.21x = 68,912,827.85
  5. Step 5: Solve for x
    x = 68,912,827.85/8,164.21
  6. Step 6: Final answer
    x = 8,440.84

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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.