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Finding the Fourth Proportional to 11,834, 16,333.08 and 6,866

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Solution

The fourth proportional to 11,834, 16,333.08 and 6,866 is: 9,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834 : 16,333.08 = 6,866 : x
  2. Step 2: Convert to fraction form
    11,834/16,333.08 = 6,866/x
  3. Step 3: Cross multiply
    11,834x = 16,333.08 × 6,866
  4. Step 4: Simplify right side
    11,834x = 112,142,927.28
  5. Step 5: Solve for x
    x = 112,142,927.28/11,834
  6. Step 6: Final answer
    x = 9,476.33

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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.