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Finding the Fourth Proportional to 11,400.80, 17,075.22 and 7,874.77

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Solution

The fourth proportional to 11,400.80, 17,075.22 and 7,874.77 is: 11,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.80 : 17,075.22 = 7,874.77 : x
  2. Step 2: Convert to fraction form
    11,400.80/17,075.22 = 7,874.77/x
  3. Step 3: Cross multiply
    11,400.80x = 17,075.22 × 7,874.77
  4. Step 4: Simplify right side
    11,400.80x = 134,463,481.07
  5. Step 5: Solve for x
    x = 134,463,481.07/11,400.80
  6. Step 6: Final answer
    x = 11,794.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.