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Finding the Fourth Proportional to 11,675.16, 16,111.39 and 6,369.97

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Solution

The fourth proportional to 11,675.16, 16,111.39 and 6,369.97 is: 8,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.16 : 16,111.39 = 6,369.97 : x
  2. Step 2: Convert to fraction form
    11,675.16/16,111.39 = 6,369.97/x
  3. Step 3: Cross multiply
    11,675.16x = 16,111.39 × 6,369.97
  4. Step 4: Simplify right side
    11,675.16x = 102,629,070.96
  5. Step 5: Solve for x
    x = 102,629,070.96/11,675.16
  6. Step 6: Final answer
    x = 8,790.38

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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.