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Finding the Fourth Proportional to 27,797.36, 41,698.35 and 8,075.91

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Solution

The fourth proportional to 27,797.36, 41,698.35 and 8,075.91 is: 12,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.36 : 41,698.35 = 8,075.91 : x
  2. Step 2: Convert to fraction form
    27,797.36/41,698.35 = 8,075.91/x
  3. Step 3: Cross multiply
    27,797.36x = 41,698.35 × 8,075.91
  4. Step 4: Simplify right side
    27,797.36x = 336,752,278.12
  5. Step 5: Solve for x
    x = 336,752,278.12/27,797.36
  6. Step 6: Final answer
    x = 12,114.54

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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.