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Finding the Fourth Proportional to 12,211, 16,853.70 and 6,906.04

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Solution

The fourth proportional to 12,211, 16,853.70 and 6,906.04 is: 9,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211 : 16,853.70 = 6,906.04 : x
  2. Step 2: Convert to fraction form
    12,211/16,853.70 = 6,906.04/x
  3. Step 3: Cross multiply
    12,211x = 16,853.70 × 6,906.04
  4. Step 4: Simplify right side
    12,211x = 116,392,326.35
  5. Step 5: Solve for x
    x = 116,392,326.35/12,211
  6. Step 6: Final answer
    x = 9,531.76

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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.