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Finding the Fourth Proportional to 11,242.85, 16,852.95 and 3,842.27

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Solution

The fourth proportional to 11,242.85, 16,852.95 and 3,842.27 is: 5,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.85 : 16,852.95 = 3,842.27 : x
  2. Step 2: Convert to fraction form
    11,242.85/16,852.95 = 3,842.27/x
  3. Step 3: Cross multiply
    11,242.85x = 16,852.95 × 3,842.27
  4. Step 4: Simplify right side
    11,242.85x = 64,753,584.20
  5. Step 5: Solve for x
    x = 64,753,584.20/11,242.85
  6. Step 6: Final answer
    x = 5,759.53

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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.