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Finding the Fourth Proportional to 7,465.56, 11,198.22 and 3,361.56

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Solution

The fourth proportional to 7,465.56, 11,198.22 and 3,361.56 is: 5,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.56 : 11,198.22 = 3,361.56 : x
  2. Step 2: Convert to fraction form
    7,465.56/11,198.22 = 3,361.56/x
  3. Step 3: Cross multiply
    7,465.56x = 11,198.22 × 3,361.56
  4. Step 4: Simplify right side
    7,465.56x = 37,643,488.42
  5. Step 5: Solve for x
    x = 37,643,488.42/7,465.56
  6. Step 6: Final answer
    x = 5,042.29

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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.