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Finding the Fourth Proportional to 8,214.15, 12,321.20 and 3,284.94

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Solution

The fourth proportional to 8,214.15, 12,321.20 and 3,284.94 is: 4,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.15 : 12,321.20 = 3,284.94 : x
  2. Step 2: Convert to fraction form
    8,214.15/12,321.20 = 3,284.94/x
  3. Step 3: Cross multiply
    8,214.15x = 12,321.20 × 3,284.94
  4. Step 4: Simplify right side
    8,214.15x = 40,474,364.74
  5. Step 5: Solve for x
    x = 40,474,364.74/8,214.15
  6. Step 6: Final answer
    x = 4,927.40

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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.