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Finding the Fourth Proportional to 8,239.11, 11,370.97 and 4,654.22

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Solution

The fourth proportional to 8,239.11, 11,370.97 and 4,654.22 is: 6,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.11 : 11,370.97 = 4,654.22 : x
  2. Step 2: Convert to fraction form
    8,239.11/11,370.97 = 4,654.22/x
  3. Step 3: Cross multiply
    8,239.11x = 11,370.97 × 4,654.22
  4. Step 4: Simplify right side
    8,239.11x = 52,922,961.84
  5. Step 5: Solve for x
    x = 52,922,961.84/8,239.11
  6. Step 6: Final answer
    x = 6,423.38

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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.