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Finding the Fourth Proportional to 11,234.12, 16,851.10 and 8,771

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Solution

The fourth proportional to 11,234.12, 16,851.10 and 8,771 is: 13,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.12 : 16,851.10 = 8,771 : x
  2. Step 2: Convert to fraction form
    11,234.12/16,851.10 = 8,771/x
  3. Step 3: Cross multiply
    11,234.12x = 16,851.10 × 8,771
  4. Step 4: Simplify right side
    11,234.12x = 147,800,998.10
  5. Step 5: Solve for x
    x = 147,800,998.10/11,234.12
  6. Step 6: Final answer
    x = 13,156.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.