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Finding the Fourth Proportional to 11,706.44, 16,155.17 and 6,401.66

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Solution

The fourth proportional to 11,706.44, 16,155.17 and 6,401.66 is: 8,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.44 : 16,155.17 = 6,401.66 : x
  2. Step 2: Convert to fraction form
    11,706.44/16,155.17 = 6,401.66/x
  3. Step 3: Cross multiply
    11,706.44x = 16,155.17 × 6,401.66
  4. Step 4: Simplify right side
    11,706.44x = 103,419,792.80
  5. Step 5: Solve for x
    x = 103,419,792.80/11,706.44
  6. Step 6: Final answer
    x = 8,834.44

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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.