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Finding the Fourth Proportional to 8,288.64, 12,431.16 and 2,443.92

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Solution

The fourth proportional to 8,288.64, 12,431.16 and 2,443.92 is: 3,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.64 : 12,431.16 = 2,443.92 : x
  2. Step 2: Convert to fraction form
    8,288.64/12,431.16 = 2,443.92/x
  3. Step 3: Cross multiply
    8,288.64x = 12,431.16 × 2,443.92
  4. Step 4: Simplify right side
    8,288.64x = 30,380,760.55
  5. Step 5: Solve for x
    x = 30,380,760.55/8,288.64
  6. Step 6: Final answer
    x = 3,665.35

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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.