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Finding the Fourth Proportional to 11,704.32, 16,162.74 and 7,519.86

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Solution

The fourth proportional to 11,704.32, 16,162.74 and 7,519.86 is: 10,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.32 : 16,162.74 = 7,519.86 : x
  2. Step 2: Convert to fraction form
    11,704.32/16,162.74 = 7,519.86/x
  3. Step 3: Cross multiply
    11,704.32x = 16,162.74 × 7,519.86
  4. Step 4: Simplify right side
    11,704.32x = 121,541,542.02
  5. Step 5: Solve for x
    x = 121,541,542.02/11,704.32
  6. Step 6: Final answer
    x = 10,384.33

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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.