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Finding the Fourth Proportional to 8,204.54, 11,314.59 and 6,531.49

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Solution

The fourth proportional to 8,204.54, 11,314.59 and 6,531.49 is: 9,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.54 : 11,314.59 = 6,531.49 : x
  2. Step 2: Convert to fraction form
    8,204.54/11,314.59 = 6,531.49/x
  3. Step 3: Cross multiply
    8,204.54x = 11,314.59 × 6,531.49
  4. Step 4: Simplify right side
    8,204.54x = 73,901,057.44
  5. Step 5: Solve for x
    x = 73,901,057.44/8,204.54
  6. Step 6: Final answer
    x = 9,007.34

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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.