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Finding the Fourth Proportional to 11,801.56, 16,286.21 and 6,766.08

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Solution

The fourth proportional to 11,801.56, 16,286.21 and 6,766.08 is: 9,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.56 : 16,286.21 = 6,766.08 : x
  2. Step 2: Convert to fraction form
    11,801.56/16,286.21 = 6,766.08/x
  3. Step 3: Cross multiply
    11,801.56x = 16,286.21 × 6,766.08
  4. Step 4: Simplify right side
    11,801.56x = 110,193,684.50
  5. Step 5: Solve for x
    x = 110,193,684.50/11,801.56
  6. Step 6: Final answer
    x = 9,337.21

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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.