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Finding the Fourth Proportional to 11,201.25, 16,801.88 and 3,905.25

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Solution

The fourth proportional to 11,201.25, 16,801.88 and 3,905.25 is: 5,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.25 : 16,801.88 = 3,905.25 : x
  2. Step 2: Convert to fraction form
    11,201.25/16,801.88 = 3,905.25/x
  3. Step 3: Cross multiply
    11,201.25x = 16,801.88 × 3,905.25
  4. Step 4: Simplify right side
    11,201.25x = 65,615,522.34
  5. Step 5: Solve for x
    x = 65,615,522.34/11,201.25
  6. Step 6: Final answer
    x = 5,857.88

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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.