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Finding the Fourth Proportional to 11,818.44, 16,311.78 and 6,786.11

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Solution

The fourth proportional to 11,818.44, 16,311.78 and 6,786.11 is: 9,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.44 : 16,311.78 = 6,786.11 : x
  2. Step 2: Convert to fraction form
    11,818.44/16,311.78 = 6,786.11/x
  3. Step 3: Cross multiply
    11,818.44x = 16,311.78 × 6,786.11
  4. Step 4: Simplify right side
    11,818.44x = 110,693,574.16
  5. Step 5: Solve for x
    x = 110,693,574.16/11,818.44
  6. Step 6: Final answer
    x = 9,366.17

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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.