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Finding the Fourth Proportional to 7,759.71, 10,708.43 and 4,222.94

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Solution

The fourth proportional to 7,759.71, 10,708.43 and 4,222.94 is: 5,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.71 : 10,708.43 = 4,222.94 : x
  2. Step 2: Convert to fraction form
    7,759.71/10,708.43 = 4,222.94/x
  3. Step 3: Cross multiply
    7,759.71x = 10,708.43 × 4,222.94
  4. Step 4: Simplify right side
    7,759.71x = 45,220,982.73
  5. Step 5: Solve for x
    x = 45,220,982.73/7,759.71
  6. Step 6: Final answer
    x = 5,827.66

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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.