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Finding the Fourth Proportional to 11,842.75, 17,763.36 and 4,446.57

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Solution

The fourth proportional to 11,842.75, 17,763.36 and 4,446.57 is: 6,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.75 : 17,763.36 = 4,446.57 : x
  2. Step 2: Convert to fraction form
    11,842.75/17,763.36 = 4,446.57/x
  3. Step 3: Cross multiply
    11,842.75x = 17,763.36 × 4,446.57
  4. Step 4: Simplify right side
    11,842.75x = 78,986,023.68
  5. Step 5: Solve for x
    x = 78,986,023.68/11,842.75
  6. Step 6: Final answer
    x = 6,669.57

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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.