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Finding the Fourth Proportional to 11,770.44, 16,257.57 and 8,799.46

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Solution

The fourth proportional to 11,770.44, 16,257.57 and 8,799.46 is: 12,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.44 : 16,257.57 = 8,799.46 : x
  2. Step 2: Convert to fraction form
    11,770.44/16,257.57 = 8,799.46/x
  3. Step 3: Cross multiply
    11,770.44x = 16,257.57 × 8,799.46
  4. Step 4: Simplify right side
    11,770.44x = 143,057,836.91
  5. Step 5: Solve for x
    x = 143,057,836.91/11,770.44
  6. Step 6: Final answer
    x = 12,153.99

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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.