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Finding the Fourth Proportional to 10,676.21, 16,024.08 and 5,414.85

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Solution

The fourth proportional to 10,676.21, 16,024.08 and 5,414.85 is: 8,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.21 : 16,024.08 = 5,414.85 : x
  2. Step 2: Convert to fraction form
    10,676.21/16,024.08 = 5,414.85/x
  3. Step 3: Cross multiply
    10,676.21x = 16,024.08 × 5,414.85
  4. Step 4: Simplify right side
    10,676.21x = 86,768,047.27
  5. Step 5: Solve for x
    x = 86,768,047.27/10,676.21
  6. Step 6: Final answer
    x = 8,127.23

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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.