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Finding the Fourth Proportional to 8,504.49, 11,736.45 and 5,147.91

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Solution

The fourth proportional to 8,504.49, 11,736.45 and 5,147.91 is: 7,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.49 : 11,736.45 = 5,147.91 : x
  2. Step 2: Convert to fraction form
    8,504.49/11,736.45 = 5,147.91/x
  3. Step 3: Cross multiply
    8,504.49x = 11,736.45 × 5,147.91
  4. Step 4: Simplify right side
    8,504.49x = 60,418,188.32
  5. Step 5: Solve for x
    x = 60,418,188.32/8,504.49
  6. Step 6: Final answer
    x = 7,104.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.