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Finding the Fourth Proportional to 8,012.42, 12,014.66 and 2,745.95

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Solution

The fourth proportional to 8,012.42, 12,014.66 and 2,745.95 is: 4,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.42 : 12,014.66 = 2,745.95 : x
  2. Step 2: Convert to fraction form
    8,012.42/12,014.66 = 2,745.95/x
  3. Step 3: Cross multiply
    8,012.42x = 12,014.66 × 2,745.95
  4. Step 4: Simplify right side
    8,012.42x = 32,991,641.90
  5. Step 5: Solve for x
    x = 32,991,641.90/8,012.42
  6. Step 6: Final answer
    x = 4,117.56

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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.