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Finding the Fourth Proportional to 8,230.78, 12,346.57 and 2,684.12

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Solution

The fourth proportional to 8,230.78, 12,346.57 and 2,684.12 is: 4,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.78 : 12,346.57 = 2,684.12 : x
  2. Step 2: Convert to fraction form
    8,230.78/12,346.57 = 2,684.12/x
  3. Step 3: Cross multiply
    8,230.78x = 12,346.57 × 2,684.12
  4. Step 4: Simplify right side
    8,230.78x = 33,139,600.31
  5. Step 5: Solve for x
    x = 33,139,600.31/8,230.78
  6. Step 6: Final answer
    x = 4,026.30

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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.