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Finding the Fourth Proportional to 7,932.92, 10,944.62 and 4,946.26

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Solution

The fourth proportional to 7,932.92, 10,944.62 and 4,946.26 is: 6,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.92 : 10,944.62 = 4,946.26 : x
  2. Step 2: Convert to fraction form
    7,932.92/10,944.62 = 4,946.26/x
  3. Step 3: Cross multiply
    7,932.92x = 10,944.62 × 4,946.26
  4. Step 4: Simplify right side
    7,932.92x = 54,134,936.12
  5. Step 5: Solve for x
    x = 54,134,936.12/7,932.92
  6. Step 6: Final answer
    x = 6,824.09

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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.