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Finding the Fourth Proportional to 11,242.55, 16,863.82 and 3,847.07

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Solution

The fourth proportional to 11,242.55, 16,863.82 and 3,847.07 is: 5,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.55 : 16,863.82 = 3,847.07 : x
  2. Step 2: Convert to fraction form
    11,242.55/16,863.82 = 3,847.07/x
  3. Step 3: Cross multiply
    11,242.55x = 16,863.82 × 3,847.07
  4. Step 4: Simplify right side
    11,242.55x = 64,876,291.94
  5. Step 5: Solve for x
    x = 64,876,291.94/11,242.55
  6. Step 6: Final answer
    x = 5,770.60

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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.