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Finding the Fourth Proportional to 11,882.60, 16,398.38 and 6,846.43

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Solution

The fourth proportional to 11,882.60, 16,398.38 and 6,846.43 is: 9,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.60 : 16,398.38 = 6,846.43 : x
  2. Step 2: Convert to fraction form
    11,882.60/16,398.38 = 6,846.43/x
  3. Step 3: Cross multiply
    11,882.60x = 16,398.38 × 6,846.43
  4. Step 4: Simplify right side
    11,882.60x = 112,270,326.55
  5. Step 5: Solve for x
    x = 112,270,326.55/11,882.60
  6. Step 6: Final answer
    x = 9,448.30

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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.