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Finding the Fourth Proportional to 8,336.49, 11,505.38 and 5,351.24

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Solution

The fourth proportional to 8,336.49, 11,505.38 and 5,351.24 is: 7,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.49 : 11,505.38 = 5,351.24 : x
  2. Step 2: Convert to fraction form
    8,336.49/11,505.38 = 5,351.24/x
  3. Step 3: Cross multiply
    8,336.49x = 11,505.38 × 5,351.24
  4. Step 4: Simplify right side
    8,336.49x = 61,567,965.39
  5. Step 5: Solve for x
    x = 61,567,965.39/8,336.49
  6. Step 6: Final answer
    x = 7,385.36

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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.