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Finding the Fourth Proportional to 8,049.40, 12,075.90 and 3,118.60

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Solution

The fourth proportional to 8,049.40, 12,075.90 and 3,118.60 is: 4,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.40 : 12,075.90 = 3,118.60 : x
  2. Step 2: Convert to fraction form
    8,049.40/12,075.90 = 3,118.60/x
  3. Step 3: Cross multiply
    8,049.40x = 12,075.90 × 3,118.60
  4. Step 4: Simplify right side
    8,049.40x = 37,659,901.74
  5. Step 5: Solve for x
    x = 37,659,901.74/8,049.40
  6. Step 6: Final answer
    x = 4,678.60

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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.