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Finding the Fourth Proportional to 7,676.43, 11,514.84 and 5,740.92

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Solution

The fourth proportional to 7,676.43, 11,514.84 and 5,740.92 is: 8,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.43 : 11,514.84 = 5,740.92 : x
  2. Step 2: Convert to fraction form
    7,676.43/11,514.84 = 5,740.92/x
  3. Step 3: Cross multiply
    7,676.43x = 11,514.84 × 5,740.92
  4. Step 4: Simplify right side
    7,676.43x = 66,105,775.25
  5. Step 5: Solve for x
    x = 66,105,775.25/7,676.43
  6. Step 6: Final answer
    x = 8,611.53

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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.