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Finding the Fourth Proportional to 8,190.32, 12,285.63 and 2,644.16

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Solution

The fourth proportional to 8,190.32, 12,285.63 and 2,644.16 is: 3,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.32 : 12,285.63 = 2,644.16 : x
  2. Step 2: Convert to fraction form
    8,190.32/12,285.63 = 2,644.16/x
  3. Step 3: Cross multiply
    8,190.32x = 12,285.63 × 2,644.16
  4. Step 4: Simplify right side
    8,190.32x = 32,485,171.42
  5. Step 5: Solve for x
    x = 32,485,171.42/8,190.32
  6. Step 6: Final answer
    x = 3,966.29

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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.