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Finding the Fourth Proportional to 8,075.97, 12,106.62 and 2,880.63

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Solution

The fourth proportional to 8,075.97, 12,106.62 and 2,880.63 is: 4,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.97 : 12,106.62 = 2,880.63 : x
  2. Step 2: Convert to fraction form
    8,075.97/12,106.62 = 2,880.63/x
  3. Step 3: Cross multiply
    8,075.97x = 12,106.62 × 2,880.63
  4. Step 4: Simplify right side
    8,075.97x = 34,874,692.77
  5. Step 5: Solve for x
    x = 34,874,692.77/8,075.97
  6. Step 6: Final answer
    x = 4,318.33

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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.