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Finding the Fourth Proportional to 11,846.88, 17,771.35 and 3,081.80

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Solution

The fourth proportional to 11,846.88, 17,771.35 and 3,081.80 is: 4,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.88 : 17,771.35 = 3,081.80 : x
  2. Step 2: Convert to fraction form
    11,846.88/17,771.35 = 3,081.80/x
  3. Step 3: Cross multiply
    11,846.88x = 17,771.35 × 3,081.80
  4. Step 4: Simplify right side
    11,846.88x = 54,767,688.97
  5. Step 5: Solve for x
    x = 54,767,688.97/11,846.88
  6. Step 6: Final answer
    x = 4,622.96

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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.