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Finding the Fourth Proportional to 10,811.84, 16,217.46 and 3,020.42

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Solution

The fourth proportional to 10,811.84, 16,217.46 and 3,020.42 is: 4,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.84 : 16,217.46 = 3,020.42 : x
  2. Step 2: Convert to fraction form
    10,811.84/16,217.46 = 3,020.42/x
  3. Step 3: Cross multiply
    10,811.84x = 16,217.46 × 3,020.42
  4. Step 4: Simplify right side
    10,811.84x = 48,983,540.53
  5. Step 5: Solve for x
    x = 48,983,540.53/10,811.84
  6. Step 6: Final answer
    x = 4,530.55

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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.