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Finding the Fourth Proportional to 7,759.74, 10,708.41 and 4,222.95

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Solution

The fourth proportional to 7,759.74, 10,708.41 and 4,222.95 is: 5,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.74 : 10,708.41 = 4,222.95 : x
  2. Step 2: Convert to fraction form
    7,759.74/10,708.41 = 4,222.95/x
  3. Step 3: Cross multiply
    7,759.74x = 10,708.41 × 4,222.95
  4. Step 4: Simplify right side
    7,759.74x = 45,221,080.01
  5. Step 5: Solve for x
    x = 45,221,080.01/7,759.74
  6. Step 6: Final answer
    x = 5,827.65

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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.