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Finding the Fourth Proportional to 11,674.97, 16,111.41 and 6,369.77

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Solution

The fourth proportional to 11,674.97, 16,111.41 and 6,369.77 is: 8,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.97 : 16,111.41 = 6,369.77 : x
  2. Step 2: Convert to fraction form
    11,674.97/16,111.41 = 6,369.77/x
  3. Step 3: Cross multiply
    11,674.97x = 16,111.41 × 6,369.77
  4. Step 4: Simplify right side
    11,674.97x = 102,625,944.23
  5. Step 5: Solve for x
    x = 102,625,944.23/11,674.97
  6. Step 6: Final answer
    x = 8,790.25

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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.