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Finding the Fourth Proportional to 6,823.16, 10,230.60 and 4,453

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Solution

The fourth proportional to 6,823.16, 10,230.60 and 4,453 is: 6,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.16 : 10,230.60 = 4,453 : x
  2. Step 2: Convert to fraction form
    6,823.16/10,230.60 = 4,453/x
  3. Step 3: Cross multiply
    6,823.16x = 10,230.60 × 4,453
  4. Step 4: Simplify right side
    6,823.16x = 45,556,861.80
  5. Step 5: Solve for x
    x = 45,556,861.80/6,823.16
  6. Step 6: Final answer
    x = 6,676.80

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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.