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Finding the Fourth Proportional to 10,676.89, 14,730.99 and 6,138.87

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Solution

The fourth proportional to 10,676.89, 14,730.99 and 6,138.87 is: 8,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.89 : 14,730.99 = 6,138.87 : x
  2. Step 2: Convert to fraction form
    10,676.89/14,730.99 = 6,138.87/x
  3. Step 3: Cross multiply
    10,676.89x = 14,730.99 × 6,138.87
  4. Step 4: Simplify right side
    10,676.89x = 90,431,632.58
  5. Step 5: Solve for x
    x = 90,431,632.58/10,676.89
  6. Step 6: Final answer
    x = 8,469.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.