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Finding the Fourth Proportional to 11,361.25, 17,041.88 and 5,205.25

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Solution

The fourth proportional to 11,361.25, 17,041.88 and 5,205.25 is: 7,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.25 : 17,041.88 = 5,205.25 : x
  2. Step 2: Convert to fraction form
    11,361.25/17,041.88 = 5,205.25/x
  3. Step 3: Cross multiply
    11,361.25x = 17,041.88 × 5,205.25
  4. Step 4: Simplify right side
    11,361.25x = 88,707,245.87
  5. Step 5: Solve for x
    x = 88,707,245.87/11,361.25
  6. Step 6: Final answer
    x = 7,807.88

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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.