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Finding the Fourth Proportional to 8,311.49, 12,457.67 and 3,630.40

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Solution

The fourth proportional to 8,311.49, 12,457.67 and 3,630.40 is: 5,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.49 : 12,457.67 = 3,630.40 : x
  2. Step 2: Convert to fraction form
    8,311.49/12,457.67 = 3,630.40/x
  3. Step 3: Cross multiply
    8,311.49x = 12,457.67 × 3,630.40
  4. Step 4: Simplify right side
    8,311.49x = 45,226,316.09
  5. Step 5: Solve for x
    x = 45,226,316.09/8,311.49
  6. Step 6: Final answer
    x = 5,441.42

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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.