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Finding the Fourth Proportional to 8,504.97, 12,736.95 and 4,984.54

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Solution

The fourth proportional to 8,504.97, 12,736.95 and 4,984.54 is: 7,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.97 : 12,736.95 = 4,984.54 : x
  2. Step 2: Convert to fraction form
    8,504.97/12,736.95 = 4,984.54/x
  3. Step 3: Cross multiply
    8,504.97x = 12,736.95 × 4,984.54
  4. Step 4: Simplify right side
    8,504.97x = 63,487,786.22
  5. Step 5: Solve for x
    x = 63,487,786.22/8,504.97
  6. Step 6: Final answer
    x = 7,464.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.