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Finding the Fourth Proportional to 8,075, 12,107.29 and 3,855.97

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Solution

The fourth proportional to 8,075, 12,107.29 and 3,855.97 is: 5,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075 : 12,107.29 = 3,855.97 : x
  2. Step 2: Convert to fraction form
    8,075/12,107.29 = 3,855.97/x
  3. Step 3: Cross multiply
    8,075x = 12,107.29 × 3,855.97
  4. Step 4: Simplify right side
    8,075x = 46,685,347.02
  5. Step 5: Solve for x
    x = 46,685,347.02/8,075
  6. Step 6: Final answer
    x = 5,781.47

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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.