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Finding the Fourth Proportional to 8,157.12, 11,172.48 and 7,678.38

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Solution

The fourth proportional to 8,157.12, 11,172.48 and 7,678.38 is: 10,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.12 : 11,172.48 = 7,678.38 : x
  2. Step 2: Convert to fraction form
    8,157.12/11,172.48 = 7,678.38/x
  3. Step 3: Cross multiply
    8,157.12x = 11,172.48 × 7,678.38
  4. Step 4: Simplify right side
    8,157.12x = 85,786,546.98
  5. Step 5: Solve for x
    x = 85,786,546.98/8,157.12
  6. Step 6: Final answer
    x = 10,516.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.