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Finding the Fourth Proportional to 8,811.96, 12,164.92 and 6,173.40

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Solution

The fourth proportional to 8,811.96, 12,164.92 and 6,173.40 is: 8,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.96 : 12,164.92 = 6,173.40 : x
  2. Step 2: Convert to fraction form
    8,811.96/12,164.92 = 6,173.40/x
  3. Step 3: Cross multiply
    8,811.96x = 12,164.92 × 6,173.40
  4. Step 4: Simplify right side
    8,811.96x = 75,098,917.13
  5. Step 5: Solve for x
    x = 75,098,917.13/8,811.96
  6. Step 6: Final answer
    x = 8,522.39

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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.