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Finding the Fourth Proportional to 11,199.52, 16,801.09 and 3,406.50

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Solution

The fourth proportional to 11,199.52, 16,801.09 and 3,406.50 is: 5,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.52 : 16,801.09 = 3,406.50 : x
  2. Step 2: Convert to fraction form
    11,199.52/16,801.09 = 3,406.50/x
  3. Step 3: Cross multiply
    11,199.52x = 16,801.09 × 3,406.50
  4. Step 4: Simplify right side
    11,199.52x = 57,232,913.09
  5. Step 5: Solve for x
    x = 57,232,913.09/11,199.52
  6. Step 6: Final answer
    x = 5,110.30

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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.