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Finding the Fourth Proportional to 11,310.52, 16,943.09 and 5,763.64

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Solution

The fourth proportional to 11,310.52, 16,943.09 and 5,763.64 is: 8,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.52 : 16,943.09 = 5,763.64 : x
  2. Step 2: Convert to fraction form
    11,310.52/16,943.09 = 5,763.64/x
  3. Step 3: Cross multiply
    11,310.52x = 16,943.09 × 5,763.64
  4. Step 4: Simplify right side
    11,310.52x = 97,653,871.25
  5. Step 5: Solve for x
    x = 97,653,871.25/11,310.52
  6. Step 6: Final answer
    x = 8,633.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.