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Finding the Fourth Proportional to 11,771.68, 17,613.36 and 7,093.60

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Solution

The fourth proportional to 11,771.68, 17,613.36 and 7,093.60 is: 10,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.68 : 17,613.36 = 7,093.60 : x
  2. Step 2: Convert to fraction form
    11,771.68/17,613.36 = 7,093.60/x
  3. Step 3: Cross multiply
    11,771.68x = 17,613.36 × 7,093.60
  4. Step 4: Simplify right side
    11,771.68x = 124,942,130.50
  5. Step 5: Solve for x
    x = 124,942,130.50/11,771.68
  6. Step 6: Final answer
    x = 10,613.79

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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.