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Finding the Fourth Proportional to 7,692.12, 11,542.50 and 3,075.48

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Solution

The fourth proportional to 7,692.12, 11,542.50 and 3,075.48 is: 4,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.12 : 11,542.50 = 3,075.48 : x
  2. Step 2: Convert to fraction form
    7,692.12/11,542.50 = 3,075.48/x
  3. Step 3: Cross multiply
    7,692.12x = 11,542.50 × 3,075.48
  4. Step 4: Simplify right side
    7,692.12x = 35,498,727.90
  5. Step 5: Solve for x
    x = 35,498,727.90/7,692.12
  6. Step 6: Final answer
    x = 4,614.95

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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.