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Finding the Fourth Proportional to 11,676.57, 16,113.71 and 6,371.50

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Solution

The fourth proportional to 11,676.57, 16,113.71 and 6,371.50 is: 8,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.57 : 16,113.71 = 6,371.50 : x
  2. Step 2: Convert to fraction form
    11,676.57/16,113.71 = 6,371.50/x
  3. Step 3: Cross multiply
    11,676.57x = 16,113.71 × 6,371.50
  4. Step 4: Simplify right side
    11,676.57x = 102,668,503.27
  5. Step 5: Solve for x
    x = 102,668,503.27/11,676.57
  6. Step 6: Final answer
    x = 8,792.69

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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.