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Finding the Fourth Proportional to 11,674.58, 16,110.91 and 6,369.38

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Solution

The fourth proportional to 11,674.58, 16,110.91 and 6,369.38 is: 8,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.58 : 16,110.91 = 6,369.38 : x
  2. Step 2: Convert to fraction form
    11,674.58/16,110.91 = 6,369.38/x
  3. Step 3: Cross multiply
    11,674.58x = 16,110.91 × 6,369.38
  4. Step 4: Simplify right side
    11,674.58x = 102,616,507.94
  5. Step 5: Solve for x
    x = 102,616,507.94/11,674.58
  6. Step 6: Final answer
    x = 8,789.74

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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.