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Finding the Fourth Proportional to 8,022.60, 12,035.18 and 2,474.64

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Solution

The fourth proportional to 8,022.60, 12,035.18 and 2,474.64 is: 3,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.60 : 12,035.18 = 2,474.64 : x
  2. Step 2: Convert to fraction form
    8,022.60/12,035.18 = 2,474.64/x
  3. Step 3: Cross multiply
    8,022.60x = 12,035.18 × 2,474.64
  4. Step 4: Simplify right side
    8,022.60x = 29,782,744.02
  5. Step 5: Solve for x
    x = 29,782,744.02/8,022.60
  6. Step 6: Final answer
    x = 3,712.36

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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.