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Finding the Fourth Proportional to 8,921.64, 12,311.94 and 4,942.80

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Solution

The fourth proportional to 8,921.64, 12,311.94 and 4,942.80 is: 6,821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.64 : 12,311.94 = 4,942.80 : x
  2. Step 2: Convert to fraction form
    8,921.64/12,311.94 = 4,942.80/x
  3. Step 3: Cross multiply
    8,921.64x = 12,311.94 × 4,942.80
  4. Step 4: Simplify right side
    8,921.64x = 60,855,457.03
  5. Step 5: Solve for x
    x = 60,855,457.03/8,921.64
  6. Step 6: Final answer
    x = 6,821.11

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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.