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Finding the Fourth Proportional to 8,212.10, 12,322.20 and 3,281.90

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Solution

The fourth proportional to 8,212.10, 12,322.20 and 3,281.90 is: 4,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.10 : 12,322.20 = 3,281.90 : x
  2. Step 2: Convert to fraction form
    8,212.10/12,322.20 = 3,281.90/x
  3. Step 3: Cross multiply
    8,212.10x = 12,322.20 × 3,281.90
  4. Step 4: Simplify right side
    8,212.10x = 40,440,228.18
  5. Step 5: Solve for x
    x = 40,440,228.18/8,212.10
  6. Step 6: Final answer
    x = 4,924.47

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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.