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Finding the Fourth Proportional to 10,579.25, 14,599.11 and 5,863.43

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Solution

The fourth proportional to 10,579.25, 14,599.11 and 5,863.43 is: 8,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.25 : 14,599.11 = 5,863.43 : x
  2. Step 2: Convert to fraction form
    10,579.25/14,599.11 = 5,863.43/x
  3. Step 3: Cross multiply
    10,579.25x = 14,599.11 × 5,863.43
  4. Step 4: Simplify right side
    10,579.25x = 85,600,757.23
  5. Step 5: Solve for x
    x = 85,600,757.23/10,579.25
  6. Step 6: Final answer
    x = 8,091.39

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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.