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Finding the Fourth Proportional to 8,028.12, 12,043.14 and 2,406.12

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Solution

The fourth proportional to 8,028.12, 12,043.14 and 2,406.12 is: 3,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.12 : 12,043.14 = 2,406.12 : x
  2. Step 2: Convert to fraction form
    8,028.12/12,043.14 = 2,406.12/x
  3. Step 3: Cross multiply
    8,028.12x = 12,043.14 × 2,406.12
  4. Step 4: Simplify right side
    8,028.12x = 28,977,240.02
  5. Step 5: Solve for x
    x = 28,977,240.02/8,028.12
  6. Step 6: Final answer
    x = 3,609.47

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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.