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Finding the Fourth Proportional to 11,003.54, 16,509.08 and 3,213.50

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Solution

The fourth proportional to 11,003.54, 16,509.08 and 3,213.50 is: 4,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.54 : 16,509.08 = 3,213.50 : x
  2. Step 2: Convert to fraction form
    11,003.54/16,509.08 = 3,213.50/x
  3. Step 3: Cross multiply
    11,003.54x = 16,509.08 × 3,213.50
  4. Step 4: Simplify right side
    11,003.54x = 53,051,829.97
  5. Step 5: Solve for x
    x = 53,051,829.97/11,003.54
  6. Step 6: Final answer
    x = 4,821.34

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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.