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Finding the Fourth Proportional to 11,147.32, 16,719.62 and 6,469.88

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Solution

The fourth proportional to 11,147.32, 16,719.62 and 6,469.88 is: 9,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.32 : 16,719.62 = 6,469.88 : x
  2. Step 2: Convert to fraction form
    11,147.32/16,719.62 = 6,469.88/x
  3. Step 3: Cross multiply
    11,147.32x = 16,719.62 × 6,469.88
  4. Step 4: Simplify right side
    11,147.32x = 108,173,819.10
  5. Step 5: Solve for x
    x = 108,173,819.10/11,147.32
  6. Step 6: Final answer
    x = 9,704.02

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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.