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Finding the Fourth Proportional to 8,326.92, 11,479.56 and 5,805.36

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Solution

The fourth proportional to 8,326.92, 11,479.56 and 5,805.36 is: 8,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.92 : 11,479.56 = 5,805.36 : x
  2. Step 2: Convert to fraction form
    8,326.92/11,479.56 = 5,805.36/x
  3. Step 3: Cross multiply
    8,326.92x = 11,479.56 × 5,805.36
  4. Step 4: Simplify right side
    8,326.92x = 66,642,978.44
  5. Step 5: Solve for x
    x = 66,642,978.44/8,326.92
  6. Step 6: Final answer
    x = 8,003.32

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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.