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Finding the Fourth Proportional to 11,544.50, 17,321.07 and 5,994.38

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Solution

The fourth proportional to 11,544.50, 17,321.07 and 5,994.38 is: 8,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.50 : 17,321.07 = 5,994.38 : x
  2. Step 2: Convert to fraction form
    11,544.50/17,321.07 = 5,994.38/x
  3. Step 3: Cross multiply
    11,544.50x = 17,321.07 × 5,994.38
  4. Step 4: Simplify right side
    11,544.50x = 103,829,075.59
  5. Step 5: Solve for x
    x = 103,829,075.59/11,544.50
  6. Step 6: Final answer
    x = 8,993.81

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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.