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Finding the Fourth Proportional to 7,759.43, 10,707.48 and 4,222.56

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Solution

The fourth proportional to 7,759.43, 10,707.48 and 4,222.56 is: 5,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.43 : 10,707.48 = 4,222.56 : x
  2. Step 2: Convert to fraction form
    7,759.43/10,707.48 = 4,222.56/x
  3. Step 3: Cross multiply
    7,759.43x = 10,707.48 × 4,222.56
  4. Step 4: Simplify right side
    7,759.43x = 45,212,976.75
  5. Step 5: Solve for x
    x = 45,212,976.75/7,759.43
  6. Step 6: Final answer
    x = 5,826.85

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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.