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Finding the Fourth Proportional to 6,940.25, 10,411.47 and 2,992.63

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Solution

The fourth proportional to 6,940.25, 10,411.47 and 2,992.63 is: 4,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.25 : 10,411.47 = 2,992.63 : x
  2. Step 2: Convert to fraction form
    6,940.25/10,411.47 = 2,992.63/x
  3. Step 3: Cross multiply
    6,940.25x = 10,411.47 × 2,992.63
  4. Step 4: Simplify right side
    6,940.25x = 31,157,677.47
  5. Step 5: Solve for x
    x = 31,157,677.47/6,940.25
  6. Step 6: Final answer
    x = 4,489.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.