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Finding the Fourth Proportional to 7,942.72, 10,961.34 and 4,406

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Solution

The fourth proportional to 7,942.72, 10,961.34 and 4,406 is: 6,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.72 : 10,961.34 = 4,406 : x
  2. Step 2: Convert to fraction form
    7,942.72/10,961.34 = 4,406/x
  3. Step 3: Cross multiply
    7,942.72x = 10,961.34 × 4,406
  4. Step 4: Simplify right side
    7,942.72x = 48,295,664.04
  5. Step 5: Solve for x
    x = 48,295,664.04/7,942.72
  6. Step 6: Final answer
    x = 6,080.49

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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.