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Finding the Fourth Proportional to 11,770.98, 16,243.05 and 6,466.14

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Solution

The fourth proportional to 11,770.98, 16,243.05 and 6,466.14 is: 8,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.98 : 16,243.05 = 6,466.14 : x
  2. Step 2: Convert to fraction form
    11,770.98/16,243.05 = 6,466.14/x
  3. Step 3: Cross multiply
    11,770.98x = 16,243.05 × 6,466.14
  4. Step 4: Simplify right side
    11,770.98x = 105,029,835.33
  5. Step 5: Solve for x
    x = 105,029,835.33/11,770.98
  6. Step 6: Final answer
    x = 8,922.78

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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.