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Finding the Fourth Proportional to 8,230.07, 12,346.39 and 2,682.12

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Solution

The fourth proportional to 8,230.07, 12,346.39 and 2,682.12 is: 4,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.07 : 12,346.39 = 2,682.12 : x
  2. Step 2: Convert to fraction form
    8,230.07/12,346.39 = 2,682.12/x
  3. Step 3: Cross multiply
    8,230.07x = 12,346.39 × 2,682.12
  4. Step 4: Simplify right side
    8,230.07x = 33,114,486.14
  5. Step 5: Solve for x
    x = 33,114,486.14/8,230.07
  6. Step 6: Final answer
    x = 4,023.60

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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.