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Finding the Fourth Proportional to 7,961.14, 11,940.16 and 7,566.01

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Solution

The fourth proportional to 7,961.14, 11,940.16 and 7,566.01 is: 11,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.14 : 11,940.16 = 7,566.01 : x
  2. Step 2: Convert to fraction form
    7,961.14/11,940.16 = 7,566.01/x
  3. Step 3: Cross multiply
    7,961.14x = 11,940.16 × 7,566.01
  4. Step 4: Simplify right side
    7,961.14x = 90,339,369.96
  5. Step 5: Solve for x
    x = 90,339,369.96/7,961.14
  6. Step 6: Final answer
    x = 11,347.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.