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Finding the Fourth Proportional to 8,075.43, 12,111.93 and 2,811.24

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Solution

The fourth proportional to 8,075.43, 12,111.93 and 2,811.24 is: 4,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.43 : 12,111.93 = 2,811.24 : x
  2. Step 2: Convert to fraction form
    8,075.43/12,111.93 = 2,811.24/x
  3. Step 3: Cross multiply
    8,075.43x = 12,111.93 × 2,811.24
  4. Step 4: Simplify right side
    8,075.43x = 34,049,542.09
  5. Step 5: Solve for x
    x = 34,049,542.09/8,075.43
  6. Step 6: Final answer
    x = 4,216.44

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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.