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Finding the Fourth Proportional to 8,075.06, 12,104.22 and 3,142.70

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Solution

The fourth proportional to 8,075.06, 12,104.22 and 3,142.70 is: 4,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.06 : 12,104.22 = 3,142.70 : x
  2. Step 2: Convert to fraction form
    8,075.06/12,104.22 = 3,142.70/x
  3. Step 3: Cross multiply
    8,075.06x = 12,104.22 × 3,142.70
  4. Step 4: Simplify right side
    8,075.06x = 38,039,932.19
  5. Step 5: Solve for x
    x = 38,039,932.19/8,075.06
  6. Step 6: Final answer
    x = 4,710.79

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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.