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Finding the Fourth Proportional to 12,211.25, 16,851.89 and 6,905.96

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Solution

The fourth proportional to 12,211.25, 16,851.89 and 6,905.96 is: 9,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.25 : 16,851.89 = 6,905.96 : x
  2. Step 2: Convert to fraction form
    12,211.25/16,851.89 = 6,905.96/x
  3. Step 3: Cross multiply
    12,211.25x = 16,851.89 × 6,905.96
  4. Step 4: Simplify right side
    12,211.25x = 116,378,478.26
  5. Step 5: Solve for x
    x = 116,378,478.26/12,211.25
  6. Step 6: Final answer
    x = 9,530.43

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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.