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Finding the Fourth Proportional to 8,236.16, 12,346.12 and 5,463.64

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Solution

The fourth proportional to 8,236.16, 12,346.12 and 5,463.64 is: 8,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.16 : 12,346.12 = 5,463.64 : x
  2. Step 2: Convert to fraction form
    8,236.16/12,346.12 = 5,463.64/x
  3. Step 3: Cross multiply
    8,236.16x = 12,346.12 × 5,463.64
  4. Step 4: Simplify right side
    8,236.16x = 67,454,755.08
  5. Step 5: Solve for x
    x = 67,454,755.08/8,236.16
  6. Step 6: Final answer
    x = 8,190.07

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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.