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Finding the Fourth Proportional to 8,469.11, 11,686.21 and 4,691.34

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Solution

The fourth proportional to 8,469.11, 11,686.21 and 4,691.34 is: 6,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.11 : 11,686.21 = 4,691.34 : x
  2. Step 2: Convert to fraction form
    8,469.11/11,686.21 = 4,691.34/x
  3. Step 3: Cross multiply
    8,469.11x = 11,686.21 × 4,691.34
  4. Step 4: Simplify right side
    8,469.11x = 54,823,960.96
  5. Step 5: Solve for x
    x = 54,823,960.96/8,469.11
  6. Step 6: Final answer
    x = 6,473.40

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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.