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Finding the Fourth Proportional to 11,321.60, 16,974.20 and 7,614.64

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Solution

The fourth proportional to 11,321.60, 16,974.20 and 7,614.64 is: 11,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.60 : 16,974.20 = 7,614.64 : x
  2. Step 2: Convert to fraction form
    11,321.60/16,974.20 = 7,614.64/x
  3. Step 3: Cross multiply
    11,321.60x = 16,974.20 × 7,614.64
  4. Step 4: Simplify right side
    11,321.60x = 129,252,422.29
  5. Step 5: Solve for x
    x = 129,252,422.29/11,321.60
  6. Step 6: Final answer
    x = 11,416.44

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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.