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Finding the Fourth Proportional to 11,676.76, 16,113.80 and 6,371.67

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Solution

The fourth proportional to 11,676.76, 16,113.80 and 6,371.67 is: 8,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.76 : 16,113.80 = 6,371.67 : x
  2. Step 2: Convert to fraction form
    11,676.76/16,113.80 = 6,371.67/x
  3. Step 3: Cross multiply
    11,676.76x = 16,113.80 × 6,371.67
  4. Step 4: Simplify right side
    11,676.76x = 102,671,759.83
  5. Step 5: Solve for x
    x = 102,671,759.83/11,676.76
  6. Step 6: Final answer
    x = 8,792.83

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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.