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Finding the Fourth Proportional to 11,884.34, 16,399.20 and 6,579.02

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Solution

The fourth proportional to 11,884.34, 16,399.20 and 6,579.02 is: 9,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.34 : 16,399.20 = 6,579.02 : x
  2. Step 2: Convert to fraction form
    11,884.34/16,399.20 = 6,579.02/x
  3. Step 3: Cross multiply
    11,884.34x = 16,399.20 × 6,579.02
  4. Step 4: Simplify right side
    11,884.34x = 107,890,664.78
  5. Step 5: Solve for x
    x = 107,890,664.78/11,884.34
  6. Step 6: Final answer
    x = 9,078.39

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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.