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Finding the Fourth Proportional to 10,930.80, 16,399.08 and 5,668.68

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Solution

The fourth proportional to 10,930.80, 16,399.08 and 5,668.68 is: 8,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.80 : 16,399.08 = 5,668.68 : x
  2. Step 2: Convert to fraction form
    10,930.80/16,399.08 = 5,668.68/x
  3. Step 3: Cross multiply
    10,930.80x = 16,399.08 × 5,668.68
  4. Step 4: Simplify right side
    10,930.80x = 92,961,136.81
  5. Step 5: Solve for x
    x = 92,961,136.81/10,930.80
  6. Step 6: Final answer
    x = 8,504.51

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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.