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Finding the Fourth Proportional to 7,122.39, 10,684.59 and 2,192.43

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Solution

The fourth proportional to 7,122.39, 10,684.59 and 2,192.43 is: 3,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.39 : 10,684.59 = 2,192.43 : x
  2. Step 2: Convert to fraction form
    7,122.39/10,684.59 = 2,192.43/x
  3. Step 3: Cross multiply
    7,122.39x = 10,684.59 × 2,192.43
  4. Step 4: Simplify right side
    7,122.39x = 23,425,215.65
  5. Step 5: Solve for x
    x = 23,425,215.65/7,122.39
  6. Step 6: Final answer
    x = 3,288.95

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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.