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Finding the Fourth Proportional to 7,361.26, 11,046.76 and 3,466.78

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Solution

The fourth proportional to 7,361.26, 11,046.76 and 3,466.78 is: 5,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.26 : 11,046.76 = 3,466.78 : x
  2. Step 2: Convert to fraction form
    7,361.26/11,046.76 = 3,466.78/x
  3. Step 3: Cross multiply
    7,361.26x = 11,046.76 × 3,466.78
  4. Step 4: Simplify right side
    7,361.26x = 38,296,686.63
  5. Step 5: Solve for x
    x = 38,296,686.63/7,361.26
  6. Step 6: Final answer
    x = 5,202.46

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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.