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Finding the Fourth Proportional to 11,847.90, 16,353.45 and 8,311.98

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Solution

The fourth proportional to 11,847.90, 16,353.45 and 8,311.98 is: 11,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.90 : 16,353.45 = 8,311.98 : x
  2. Step 2: Convert to fraction form
    11,847.90/16,353.45 = 8,311.98/x
  3. Step 3: Cross multiply
    11,847.90x = 16,353.45 × 8,311.98
  4. Step 4: Simplify right side
    11,847.90x = 135,929,549.33
  5. Step 5: Solve for x
    x = 135,929,549.33/11,847.90
  6. Step 6: Final answer
    x = 11,472.88

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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.