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Finding the Fourth Proportional to 12,211.63, 16,852.05 and 6,906.33

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Solution

The fourth proportional to 12,211.63, 16,852.05 and 6,906.33 is: 9,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.63 : 16,852.05 = 6,906.33 : x
  2. Step 2: Convert to fraction form
    12,211.63/16,852.05 = 6,906.33/x
  3. Step 3: Cross multiply
    12,211.63x = 16,852.05 × 6,906.33
  4. Step 4: Simplify right side
    12,211.63x = 116,385,818.48
  5. Step 5: Solve for x
    x = 116,385,818.48/12,211.63
  6. Step 6: Final answer
    x = 9,530.74

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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.