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Finding the Fourth Proportional to 8,441.97, 11,654.63 and 5,613.22

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Solution

The fourth proportional to 8,441.97, 11,654.63 and 5,613.22 is: 7,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.97 : 11,654.63 = 5,613.22 : x
  2. Step 2: Convert to fraction form
    8,441.97/11,654.63 = 5,613.22/x
  3. Step 3: Cross multiply
    8,441.97x = 11,654.63 × 5,613.22
  4. Step 4: Simplify right side
    8,441.97x = 65,420,074.11
  5. Step 5: Solve for x
    x = 65,420,074.11/8,441.97
  6. Step 6: Final answer
    x = 7,749.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.