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Finding the Fourth Proportional to 11,361.96, 17,028.58 and 5,115.32

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Solution

The fourth proportional to 11,361.96, 17,028.58 and 5,115.32 is: 7,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.96 : 17,028.58 = 5,115.32 : x
  2. Step 2: Convert to fraction form
    11,361.96/17,028.58 = 5,115.32/x
  3. Step 3: Cross multiply
    11,361.96x = 17,028.58 × 5,115.32
  4. Step 4: Simplify right side
    11,361.96x = 87,106,635.85
  5. Step 5: Solve for x
    x = 87,106,635.85/11,361.96
  6. Step 6: Final answer
    x = 7,666.51

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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.