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Finding the Fourth Proportional to 8,288.64, 12,431.60 and 2,443.90

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Solution

The fourth proportional to 8,288.64, 12,431.60 and 2,443.90 is: 3,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.64 : 12,431.60 = 2,443.90 : x
  2. Step 2: Convert to fraction form
    8,288.64/12,431.60 = 2,443.90/x
  3. Step 3: Cross multiply
    8,288.64x = 12,431.60 × 2,443.90
  4. Step 4: Simplify right side
    8,288.64x = 30,381,587.24
  5. Step 5: Solve for x
    x = 30,381,587.24/8,288.64
  6. Step 6: Final answer
    x = 3,665.45

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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.