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Finding the Fourth Proportional to 8,391.33, 11,578.50 and 5,205.40

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Solution

The fourth proportional to 8,391.33, 11,578.50 and 5,205.40 is: 7,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.33 : 11,578.50 = 5,205.40 : x
  2. Step 2: Convert to fraction form
    8,391.33/11,578.50 = 5,205.40/x
  3. Step 3: Cross multiply
    8,391.33x = 11,578.50 × 5,205.40
  4. Step 4: Simplify right side
    8,391.33x = 60,270,694.95
  5. Step 5: Solve for x
    x = 60,270,694.95/8,391.33
  6. Step 6: Final answer
    x = 7,182.50

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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.