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Finding the Fourth Proportional to 8,145.30, 12,212.48 and 3,212.40

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Solution

The fourth proportional to 8,145.30, 12,212.48 and 3,212.40 is: 4,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.30 : 12,212.48 = 3,212.40 : x
  2. Step 2: Convert to fraction form
    8,145.30/12,212.48 = 3,212.40/x
  3. Step 3: Cross multiply
    8,145.30x = 12,212.48 × 3,212.40
  4. Step 4: Simplify right side
    8,145.30x = 39,231,354.69
  5. Step 5: Solve for x
    x = 39,231,354.69/8,145.30
  6. Step 6: Final answer
    x = 4,816.44

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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.