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Finding the Fourth Proportional to 7,361.36, 11,043 and 3,465.68

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Solution

The fourth proportional to 7,361.36, 11,043 and 3,465.68 is: 5,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.36 : 11,043 = 3,465.68 : x
  2. Step 2: Convert to fraction form
    7,361.36/11,043 = 3,465.68/x
  3. Step 3: Cross multiply
    7,361.36x = 11,043 × 3,465.68
  4. Step 4: Simplify right side
    7,361.36x = 38,271,504.24
  5. Step 5: Solve for x
    x = 38,271,504.24/7,361.36
  6. Step 6: Final answer
    x = 5,198.97

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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.