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Finding the Fourth Proportional to 8,905.96, 12,286.34 and 5,367.16

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Solution

The fourth proportional to 8,905.96, 12,286.34 and 5,367.16 is: 7,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.96 : 12,286.34 = 5,367.16 : x
  2. Step 2: Convert to fraction form
    8,905.96/12,286.34 = 5,367.16/x
  3. Step 3: Cross multiply
    8,905.96x = 12,286.34 × 5,367.16
  4. Step 4: Simplify right side
    8,905.96x = 65,942,752.59
  5. Step 5: Solve for x
    x = 65,942,752.59/8,905.96
  6. Step 6: Final answer
    x = 7,404.34

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