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Finding the Fourth Proportional to 8,189.32, 12,284.13 and 2,643.16

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Solution

The fourth proportional to 8,189.32, 12,284.13 and 2,643.16 is: 3,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.32 : 12,284.13 = 2,643.16 : x
  2. Step 2: Convert to fraction form
    8,189.32/12,284.13 = 2,643.16/x
  3. Step 3: Cross multiply
    8,189.32x = 12,284.13 × 2,643.16
  4. Step 4: Simplify right side
    8,189.32x = 32,468,921.05
  5. Step 5: Solve for x
    x = 32,468,921.05/8,189.32
  6. Step 6: Final answer
    x = 3,964.79

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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.