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Finding the Fourth Proportional to 8,921.62, 12,311.34 and 4,942.48

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Solution

The fourth proportional to 8,921.62, 12,311.34 and 4,942.48 is: 6,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.62 : 12,311.34 = 4,942.48 : x
  2. Step 2: Convert to fraction form
    8,921.62/12,311.34 = 4,942.48/x
  3. Step 3: Cross multiply
    8,921.62x = 12,311.34 × 4,942.48
  4. Step 4: Simplify right side
    8,921.62x = 60,848,551.72
  5. Step 5: Solve for x
    x = 60,848,551.72/8,921.62
  6. Step 6: Final answer
    x = 6,820.35

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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.