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Finding the Fourth Proportional to 7,627.34, 10,514.94 and 5,739.24

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Solution

The fourth proportional to 7,627.34, 10,514.94 and 5,739.24 is: 7,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.34 : 10,514.94 = 5,739.24 : x
  2. Step 2: Convert to fraction form
    7,627.34/10,514.94 = 5,739.24/x
  3. Step 3: Cross multiply
    7,627.34x = 10,514.94 × 5,739.24
  4. Step 4: Simplify right side
    7,627.34x = 60,347,764.25
  5. Step 5: Solve for x
    x = 60,347,764.25/7,627.34
  6. Step 6: Final answer
    x = 7,912.03

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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.