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Finding the Fourth Proportional to 10,237, 15,361.46 and 3,996.68

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Solution

The fourth proportional to 10,237, 15,361.46 and 3,996.68 is: 5,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237 : 15,361.46 = 3,996.68 : x
  2. Step 2: Convert to fraction form
    10,237/15,361.46 = 3,996.68/x
  3. Step 3: Cross multiply
    10,237x = 15,361.46 × 3,996.68
  4. Step 4: Simplify right side
    10,237x = 61,394,839.95
  5. Step 5: Solve for x
    x = 61,394,839.95/10,237
  6. Step 6: Final answer
    x = 5,997.35

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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.