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Finding the Fourth Proportional to 8,268.57, 12,401.64 and 2,424.42

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Solution

The fourth proportional to 8,268.57, 12,401.64 and 2,424.42 is: 3,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.57 : 12,401.64 = 2,424.42 : x
  2. Step 2: Convert to fraction form
    8,268.57/12,401.64 = 2,424.42/x
  3. Step 3: Cross multiply
    8,268.57x = 12,401.64 × 2,424.42
  4. Step 4: Simplify right side
    8,268.57x = 30,066,784.05
  5. Step 5: Solve for x
    x = 30,066,784.05/8,268.57
  6. Step 6: Final answer
    x = 3,636.27

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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.