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Finding the Fourth Proportional to 8,214.01, 12,323.14 and 3,286.98

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Solution

The fourth proportional to 8,214.01, 12,323.14 and 3,286.98 is: 4,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.01 : 12,323.14 = 3,286.98 : x
  2. Step 2: Convert to fraction form
    8,214.01/12,323.14 = 3,286.98/x
  3. Step 3: Cross multiply
    8,214.01x = 12,323.14 × 3,286.98
  4. Step 4: Simplify right side
    8,214.01x = 40,505,906.50
  5. Step 5: Solve for x
    x = 40,505,906.50/8,214.01
  6. Step 6: Final answer
    x = 4,931.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.