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Finding the Fourth Proportional to 7,122.94, 10,684.42 and 2,192.56

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Solution

The fourth proportional to 7,122.94, 10,684.42 and 2,192.56 is: 3,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.94 : 10,684.42 = 2,192.56 : x
  2. Step 2: Convert to fraction form
    7,122.94/10,684.42 = 2,192.56/x
  3. Step 3: Cross multiply
    7,122.94x = 10,684.42 × 2,192.56
  4. Step 4: Simplify right side
    7,122.94x = 23,426,231.92
  5. Step 5: Solve for x
    x = 23,426,231.92/7,122.94
  6. Step 6: Final answer
    x = 3,288.84

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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.