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Finding the Fourth Proportional to 11,021.64, 16,534.88 and 3,230.52

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Solution

The fourth proportional to 11,021.64, 16,534.88 and 3,230.52 is: 4,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.64 : 16,534.88 = 3,230.52 : x
  2. Step 2: Convert to fraction form
    11,021.64/16,534.88 = 3,230.52/x
  3. Step 3: Cross multiply
    11,021.64x = 16,534.88 × 3,230.52
  4. Step 4: Simplify right side
    11,021.64x = 53,416,260.54
  5. Step 5: Solve for x
    x = 53,416,260.54/11,021.64
  6. Step 6: Final answer
    x = 4,846.49

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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.