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Finding the Fourth Proportional to 10,806.18, 16,175.07 and 7,099.62

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Solution

The fourth proportional to 10,806.18, 16,175.07 and 7,099.62 is: 10,626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.18 : 16,175.07 = 7,099.62 : x
  2. Step 2: Convert to fraction form
    10,806.18/16,175.07 = 7,099.62/x
  3. Step 3: Cross multiply
    10,806.18x = 16,175.07 × 7,099.62
  4. Step 4: Simplify right side
    10,806.18x = 114,836,850.47
  5. Step 5: Solve for x
    x = 114,836,850.47/10,806.18
  6. Step 6: Final answer
    x = 10,626.96

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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.