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Finding the Fourth Proportional to 11,471.75, 17,197.43 and 4,075.23

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Solution

The fourth proportional to 11,471.75, 17,197.43 and 4,075.23 is: 6,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.75 : 17,197.43 = 4,075.23 : x
  2. Step 2: Convert to fraction form
    11,471.75/17,197.43 = 4,075.23/x
  3. Step 3: Cross multiply
    11,471.75x = 17,197.43 × 4,075.23
  4. Step 4: Simplify right side
    11,471.75x = 70,083,462.28
  5. Step 5: Solve for x
    x = 70,083,462.28/11,471.75
  6. Step 6: Final answer
    x = 6,109.22

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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.