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Finding the Fourth Proportional to 11,882.37, 16,398.63 and 6,578.88

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Solution

The fourth proportional to 11,882.37, 16,398.63 and 6,578.88 is: 9,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.37 : 16,398.63 = 6,578.88 : x
  2. Step 2: Convert to fraction form
    11,882.37/16,398.63 = 6,578.88/x
  3. Step 3: Cross multiply
    11,882.37x = 16,398.63 × 6,578.88
  4. Step 4: Simplify right side
    11,882.37x = 107,884,618.93
  5. Step 5: Solve for x
    x = 107,884,618.93/11,882.37
  6. Step 6: Final answer
    x = 9,079.39

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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.