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Finding the Fourth Proportional to 11,163.12, 16,744.80 and 4,236

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Solution

The fourth proportional to 11,163.12, 16,744.80 and 4,236 is: 6,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.12 : 16,744.80 = 4,236 : x
  2. Step 2: Convert to fraction form
    11,163.12/16,744.80 = 4,236/x
  3. Step 3: Cross multiply
    11,163.12x = 16,744.80 × 4,236
  4. Step 4: Simplify right side
    11,163.12x = 70,930,972.80
  5. Step 5: Solve for x
    x = 70,930,972.80/11,163.12
  6. Step 6: Final answer
    x = 6,354.05

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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.