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Finding the Fourth Proportional to 11,689.66, 16,131.79 and 6,384.48

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Solution

The fourth proportional to 11,689.66, 16,131.79 and 6,384.48 is: 8,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.66 : 16,131.79 = 6,384.48 : x
  2. Step 2: Convert to fraction form
    11,689.66/16,131.79 = 6,384.48/x
  3. Step 3: Cross multiply
    11,689.66x = 16,131.79 × 6,384.48
  4. Step 4: Simplify right side
    11,689.66x = 102,993,090.62
  5. Step 5: Solve for x
    x = 102,993,090.62/11,689.66
  6. Step 6: Final answer
    x = 8,810.61

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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.