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Finding the Fourth Proportional to 7,823.84, 10,796.49 and 4,286.39

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Solution

The fourth proportional to 7,823.84, 10,796.49 and 4,286.39 is: 5,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.84 : 10,796.49 = 4,286.39 : x
  2. Step 2: Convert to fraction form
    7,823.84/10,796.49 = 4,286.39/x
  3. Step 3: Cross multiply
    7,823.84x = 10,796.49 × 4,286.39
  4. Step 4: Simplify right side
    7,823.84x = 46,277,912.79
  5. Step 5: Solve for x
    x = 46,277,912.79/7,823.84
  6. Step 6: Final answer
    x = 5,914.99

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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.