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Finding the Fourth Proportional to 11,524.60, 17,286.90 and 4,129.30

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Solution

The fourth proportional to 11,524.60, 17,286.90 and 4,129.30 is: 6,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.60 : 17,286.90 = 4,129.30 : x
  2. Step 2: Convert to fraction form
    11,524.60/17,286.90 = 4,129.30/x
  3. Step 3: Cross multiply
    11,524.60x = 17,286.90 × 4,129.30
  4. Step 4: Simplify right side
    11,524.60x = 71,382,796.17
  5. Step 5: Solve for x
    x = 71,382,796.17/11,524.60
  6. Step 6: Final answer
    x = 6,193.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.