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Finding the Fourth Proportional to 7,759.41, 10,708.18 and 4,222.82

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Solution

The fourth proportional to 7,759.41, 10,708.18 and 4,222.82 is: 5,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.41 : 10,708.18 = 4,222.82 : x
  2. Step 2: Convert to fraction form
    7,759.41/10,708.18 = 4,222.82/x
  3. Step 3: Cross multiply
    7,759.41x = 10,708.18 × 4,222.82
  4. Step 4: Simplify right side
    7,759.41x = 45,218,716.67
  5. Step 5: Solve for x
    x = 45,218,716.67/7,759.41
  6. Step 6: Final answer
    x = 5,827.60

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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.