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Finding the Fourth Proportional to 8,022.28, 12,038.29 and 3,405.28

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Solution

The fourth proportional to 8,022.28, 12,038.29 and 3,405.28 is: 5,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.28 : 12,038.29 = 3,405.28 : x
  2. Step 2: Convert to fraction form
    8,022.28/12,038.29 = 3,405.28/x
  3. Step 3: Cross multiply
    8,022.28x = 12,038.29 × 3,405.28
  4. Step 4: Simplify right side
    8,022.28x = 40,993,731.14
  5. Step 5: Solve for x
    x = 40,993,731.14/8,022.28
  6. Step 6: Final answer
    x = 5,109.99

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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.