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Finding the Fourth Proportional to 7,631.64, 11,457.72 and 3,936.22

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Solution

The fourth proportional to 7,631.64, 11,457.72 and 3,936.22 is: 5,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.64 : 11,457.72 = 3,936.22 : x
  2. Step 2: Convert to fraction form
    7,631.64/11,457.72 = 3,936.22/x
  3. Step 3: Cross multiply
    7,631.64x = 11,457.72 × 3,936.22
  4. Step 4: Simplify right side
    7,631.64x = 45,100,106.62
  5. Step 5: Solve for x
    x = 45,100,106.62/7,631.64
  6. Step 6: Final answer
    x = 5,909.62

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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.