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Finding the Fourth Proportional to 6,788.30, 10,186.22 and 3,668.24

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Solution

The fourth proportional to 6,788.30, 10,186.22 and 3,668.24 is: 5,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.30 : 10,186.22 = 3,668.24 : x
  2. Step 2: Convert to fraction form
    6,788.30/10,186.22 = 3,668.24/x
  3. Step 3: Cross multiply
    6,788.30x = 10,186.22 × 3,668.24
  4. Step 4: Simplify right side
    6,788.30x = 37,365,499.65
  5. Step 5: Solve for x
    x = 37,365,499.65/6,788.30
  6. Step 6: Final answer
    x = 5,504.40

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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.