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Finding the Fourth Proportional to 7,757.26, 10,705.07 and 4,220.50

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Solution

The fourth proportional to 7,757.26, 10,705.07 and 4,220.50 is: 5,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.26 : 10,705.07 = 4,220.50 : x
  2. Step 2: Convert to fraction form
    7,757.26/10,705.07 = 4,220.50/x
  3. Step 3: Cross multiply
    7,757.26x = 10,705.07 × 4,220.50
  4. Step 4: Simplify right side
    7,757.26x = 45,180,739.93
  5. Step 5: Solve for x
    x = 45,180,739.93/7,757.26
  6. Step 6: Final answer
    x = 5,824.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.