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Finding the Fourth Proportional to 11,670.75, 16,105.64 and 7,479.27

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Solution

The fourth proportional to 11,670.75, 16,105.64 and 7,479.27 is: 10,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.75 : 16,105.64 = 7,479.27 : x
  2. Step 2: Convert to fraction form
    11,670.75/16,105.64 = 7,479.27/x
  3. Step 3: Cross multiply
    11,670.75x = 16,105.64 × 7,479.27
  4. Step 4: Simplify right side
    11,670.75x = 120,458,392.69
  5. Step 5: Solve for x
    x = 120,458,392.69/11,670.75
  6. Step 6: Final answer
    x = 10,321.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.