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Finding the Fourth Proportional to 11,757.80, 16,222.20 and 8,783.48

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Solution

The fourth proportional to 11,757.80, 16,222.20 and 8,783.48 is: 12,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.80 : 16,222.20 = 8,783.48 : x
  2. Step 2: Convert to fraction form
    11,757.80/16,222.20 = 8,783.48/x
  3. Step 3: Cross multiply
    11,757.80x = 16,222.20 × 8,783.48
  4. Step 4: Simplify right side
    11,757.80x = 142,487,369.26
  5. Step 5: Solve for x
    x = 142,487,369.26/11,757.80
  6. Step 6: Final answer
    x = 12,118.54

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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.