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Finding the Fourth Proportional to 5,676.14, 8,516.64 and 5,192.57

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Solution

The fourth proportional to 5,676.14, 8,516.64 and 5,192.57 is: 7,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.14 : 8,516.64 = 5,192.57 : x
  2. Step 2: Convert to fraction form
    5,676.14/8,516.64 = 5,192.57/x
  3. Step 3: Cross multiply
    5,676.14x = 8,516.64 × 5,192.57
  4. Step 4: Simplify right side
    5,676.14x = 44,223,249.36
  5. Step 5: Solve for x
    x = 44,223,249.36/5,676.14
  6. Step 6: Final answer
    x = 7,791.08

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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.