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Finding the Fourth Proportional to 7,757.80, 11,634.94 and 2,211.02

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Solution

The fourth proportional to 7,757.80, 11,634.94 and 2,211.02 is: 3,316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.80 : 11,634.94 = 2,211.02 : x
  2. Step 2: Convert to fraction form
    7,757.80/11,634.94 = 2,211.02/x
  3. Step 3: Cross multiply
    7,757.80x = 11,634.94 × 2,211.02
  4. Step 4: Simplify right side
    7,757.80x = 25,725,085.04
  5. Step 5: Solve for x
    x = 25,725,085.04/7,757.80
  6. Step 6: Final answer
    x = 3,316.03

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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.