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Finding the Fourth Proportional to 7,668.54, 11,505.23 and 2,738.07

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Solution

The fourth proportional to 7,668.54, 11,505.23 and 2,738.07 is: 4,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.54 : 11,505.23 = 2,738.07 : x
  2. Step 2: Convert to fraction form
    7,668.54/11,505.23 = 2,738.07/x
  3. Step 3: Cross multiply
    7,668.54x = 11,505.23 × 2,738.07
  4. Step 4: Simplify right side
    7,668.54x = 31,502,111.42
  5. Step 5: Solve for x
    x = 31,502,111.42/7,668.54
  6. Step 6: Final answer
    x = 4,107.97

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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.