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Finding the Fourth Proportional to 10,676.10, 16,012.32 and 4,098.90

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Solution

The fourth proportional to 10,676.10, 16,012.32 and 4,098.90 is: 6,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.10 : 16,012.32 = 4,098.90 : x
  2. Step 2: Convert to fraction form
    10,676.10/16,012.32 = 4,098.90/x
  3. Step 3: Cross multiply
    10,676.10x = 16,012.32 × 4,098.90
  4. Step 4: Simplify right side
    10,676.10x = 65,632,898.45
  5. Step 5: Solve for x
    x = 65,632,898.45/10,676.10
  6. Step 6: Final answer
    x = 6,147.65

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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.