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Finding the Fourth Proportional to 7,757.80, 11,638.50 and 2,211.22

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Solution

The fourth proportional to 7,757.80, 11,638.50 and 2,211.22 is: 3,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.80 : 11,638.50 = 2,211.22 : x
  2. Step 2: Convert to fraction form
    7,757.80/11,638.50 = 2,211.22/x
  3. Step 3: Cross multiply
    7,757.80x = 11,638.50 × 2,211.22
  4. Step 4: Simplify right side
    7,757.80x = 25,735,283.97
  5. Step 5: Solve for x
    x = 25,735,283.97/7,757.80
  6. Step 6: Final answer
    x = 3,317.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.