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Finding the Fourth Proportional to 11,674.82, 16,111.29 and 6,369.75

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Solution

The fourth proportional to 11,674.82, 16,111.29 and 6,369.75 is: 8,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.82 : 16,111.29 = 6,369.75 : x
  2. Step 2: Convert to fraction form
    11,674.82/16,111.29 = 6,369.75/x
  3. Step 3: Cross multiply
    11,674.82x = 16,111.29 × 6,369.75
  4. Step 4: Simplify right side
    11,674.82x = 102,624,889.48
  5. Step 5: Solve for x
    x = 102,624,889.48/11,674.82
  6. Step 6: Final answer
    x = 8,790.28

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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.