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Finding the Fourth Proportional to 8,075.75, 12,107.69 and 3,077.24

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Solution

The fourth proportional to 8,075.75, 12,107.69 and 3,077.24 is: 4,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.75 : 12,107.69 = 3,077.24 : x
  2. Step 2: Convert to fraction form
    8,075.75/12,107.69 = 3,077.24/x
  3. Step 3: Cross multiply
    8,075.75x = 12,107.69 × 3,077.24
  4. Step 4: Simplify right side
    8,075.75x = 37,258,252.59
  5. Step 5: Solve for x
    x = 37,258,252.59/8,075.75
  6. Step 6: Final answer
    x = 4,613.60

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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.