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Finding the Fourth Proportional to 11,704.21, 16,152.90 and 6,399.80

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Solution

The fourth proportional to 11,704.21, 16,152.90 and 6,399.80 is: 8,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.21 : 16,152.90 = 6,399.80 : x
  2. Step 2: Convert to fraction form
    11,704.21/16,152.90 = 6,399.80/x
  3. Step 3: Cross multiply
    11,704.21x = 16,152.90 × 6,399.80
  4. Step 4: Simplify right side
    11,704.21x = 103,375,329.42
  5. Step 5: Solve for x
    x = 103,375,329.42/11,704.21
  6. Step 6: Final answer
    x = 8,832.32

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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.