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Finding the Fourth Proportional to 8,321.94, 11,476.49 and 5,338.71

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Solution

The fourth proportional to 8,321.94, 11,476.49 and 5,338.71 is: 7,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.94 : 11,476.49 = 5,338.71 : x
  2. Step 2: Convert to fraction form
    8,321.94/11,476.49 = 5,338.71/x
  3. Step 3: Cross multiply
    8,321.94x = 11,476.49 × 5,338.71
  4. Step 4: Simplify right side
    8,321.94x = 61,269,625.23
  5. Step 5: Solve for x
    x = 61,269,625.23/8,321.94
  6. Step 6: Final answer
    x = 7,362.42

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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.