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Finding the Fourth Proportional to 10,126.56, 15,190.56 and 3,201

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Solution

The fourth proportional to 10,126.56, 15,190.56 and 3,201 is: 4,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.56 : 15,190.56 = 3,201 : x
  2. Step 2: Convert to fraction form
    10,126.56/15,190.56 = 3,201/x
  3. Step 3: Cross multiply
    10,126.56x = 15,190.56 × 3,201
  4. Step 4: Simplify right side
    10,126.56x = 48,624,982.56
  5. Step 5: Solve for x
    x = 48,624,982.56/10,126.56
  6. Step 6: Final answer
    x = 4,801.73

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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.