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Finding the Fourth Proportional to 8,046.98, 12,074.31 and 2,855.30

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Solution

The fourth proportional to 8,046.98, 12,074.31 and 2,855.30 is: 4,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.98 : 12,074.31 = 2,855.30 : x
  2. Step 2: Convert to fraction form
    8,046.98/12,074.31 = 2,855.30/x
  3. Step 3: Cross multiply
    8,046.98x = 12,074.31 × 2,855.30
  4. Step 4: Simplify right side
    8,046.98x = 34,475,777.34
  5. Step 5: Solve for x
    x = 34,475,777.34/8,046.98
  6. Step 6: Final answer
    x = 4,284.31

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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.