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Finding the Fourth Proportional to 10,801, 16,201.50 and 3,010.02

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Solution

The fourth proportional to 10,801, 16,201.50 and 3,010.02 is: 4,515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801 : 16,201.50 = 3,010.02 : x
  2. Step 2: Convert to fraction form
    10,801/16,201.50 = 3,010.02/x
  3. Step 3: Cross multiply
    10,801x = 16,201.50 × 3,010.02
  4. Step 4: Simplify right side
    10,801x = 48,766,839.03
  5. Step 5: Solve for x
    x = 48,766,839.03/10,801
  6. Step 6: Final answer
    x = 4,515.03

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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.