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Finding the Fourth Proportional to 10,822.80, 16,234.20 and 4,246.80

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Solution

The fourth proportional to 10,822.80, 16,234.20 and 4,246.80 is: 6,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.80 : 16,234.20 = 4,246.80 : x
  2. Step 2: Convert to fraction form
    10,822.80/16,234.20 = 4,246.80/x
  3. Step 3: Cross multiply
    10,822.80x = 16,234.20 × 4,246.80
  4. Step 4: Simplify right side
    10,822.80x = 68,943,400.56
  5. Step 5: Solve for x
    x = 68,943,400.56/10,822.80
  6. Step 6: Final answer
    x = 6,370.20

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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.