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Finding the Fourth Proportional to 11,676.45, 16,113.74 and 6,371.49

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Solution

The fourth proportional to 11,676.45, 16,113.74 and 6,371.49 is: 8,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.45 : 16,113.74 = 6,371.49 : x
  2. Step 2: Convert to fraction form
    11,676.45/16,113.74 = 6,371.49/x
  3. Step 3: Cross multiply
    11,676.45x = 16,113.74 × 6,371.49
  4. Step 4: Simplify right side
    11,676.45x = 102,668,501.42
  5. Step 5: Solve for x
    x = 102,668,501.42/11,676.45
  6. Step 6: Final answer
    x = 8,792.78

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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.