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Finding the Fourth Proportional to 11,144.64, 16,709.76 and 5,594.88

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Solution

The fourth proportional to 11,144.64, 16,709.76 and 5,594.88 is: 8,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.64 : 16,709.76 = 5,594.88 : x
  2. Step 2: Convert to fraction form
    11,144.64/16,709.76 = 5,594.88/x
  3. Step 3: Cross multiply
    11,144.64x = 16,709.76 × 5,594.88
  4. Step 4: Simplify right side
    11,144.64x = 93,489,102.03
  5. Step 5: Solve for x
    x = 93,489,102.03/11,144.64
  6. Step 6: Final answer
    x = 8,388.71

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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.