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Finding the Fourth Proportional to 11,689.23, 16,131.09 and 6,384.03

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Solution

The fourth proportional to 11,689.23, 16,131.09 and 6,384.03 is: 8,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.23 : 16,131.09 = 6,384.03 : x
  2. Step 2: Convert to fraction form
    11,689.23/16,131.09 = 6,384.03/x
  3. Step 3: Cross multiply
    11,689.23x = 16,131.09 × 6,384.03
  4. Step 4: Simplify right side
    11,689.23x = 102,981,362.49
  5. Step 5: Solve for x
    x = 102,981,362.49/11,689.23
  6. Step 6: Final answer
    x = 8,809.94

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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.