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Finding the Fourth Proportional to 11,821.13, 16,313.06 and 6,786.17

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Solution

The fourth proportional to 11,821.13, 16,313.06 and 6,786.17 is: 9,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.13 : 16,313.06 = 6,786.17 : x
  2. Step 2: Convert to fraction form
    11,821.13/16,313.06 = 6,786.17/x
  3. Step 3: Cross multiply
    11,821.13x = 16,313.06 × 6,786.17
  4. Step 4: Simplify right side
    11,821.13x = 110,703,198.38
  5. Step 5: Solve for x
    x = 110,703,198.38/11,821.13
  6. Step 6: Final answer
    x = 9,364.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.