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Finding the Fourth Proportional to 7,823.97, 10,797.21 and 4,286.95

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Solution

The fourth proportional to 7,823.97, 10,797.21 and 4,286.95 is: 5,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.97 : 10,797.21 = 4,286.95 : x
  2. Step 2: Convert to fraction form
    7,823.97/10,797.21 = 4,286.95/x
  3. Step 3: Cross multiply
    7,823.97x = 10,797.21 × 4,286.95
  4. Step 4: Simplify right side
    7,823.97x = 46,287,072.42
  5. Step 5: Solve for x
    x = 46,287,072.42/7,823.97
  6. Step 6: Final answer
    x = 5,916.06

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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.