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Finding the Fourth Proportional to 11,836.25, 16,335.15 and 8,846.90

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Solution

The fourth proportional to 11,836.25, 16,335.15 and 8,846.90 is: 12,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.25 : 16,335.15 = 8,846.90 : x
  2. Step 2: Convert to fraction form
    11,836.25/16,335.15 = 8,846.90/x
  3. Step 3: Cross multiply
    11,836.25x = 16,335.15 × 8,846.90
  4. Step 4: Simplify right side
    11,836.25x = 144,515,438.54
  5. Step 5: Solve for x
    x = 144,515,438.54/11,836.25
  6. Step 6: Final answer
    x = 12,209.56

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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.