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Finding the Fourth Proportional to 7,676.15, 11,499.41 and 5,706.44

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Solution

The fourth proportional to 7,676.15, 11,499.41 and 5,706.44 is: 8,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.15 : 11,499.41 = 5,706.44 : x
  2. Step 2: Convert to fraction form
    7,676.15/11,499.41 = 5,706.44/x
  3. Step 3: Cross multiply
    7,676.15x = 11,499.41 × 5,706.44
  4. Step 4: Simplify right side
    7,676.15x = 65,620,649.97
  5. Step 5: Solve for x
    x = 65,620,649.97/7,676.15
  6. Step 6: Final answer
    x = 8,548.64

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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.