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Finding the Fourth Proportional to 11,883.68, 16,399.56 and 6,578.39

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Solution

The fourth proportional to 11,883.68, 16,399.56 and 6,578.39 is: 9,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.68 : 16,399.56 = 6,578.39 : x
  2. Step 2: Convert to fraction form
    11,883.68/16,399.56 = 6,578.39/x
  3. Step 3: Cross multiply
    11,883.68x = 16,399.56 × 6,578.39
  4. Step 4: Simplify right side
    11,883.68x = 107,882,619.51
  5. Step 5: Solve for x
    x = 107,882,619.51/11,883.68
  6. Step 6: Final answer
    x = 9,078.22

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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.