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Finding the Fourth Proportional to 7,226.92, 10,840.38 and 2,032.80

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Solution

The fourth proportional to 7,226.92, 10,840.38 and 2,032.80 is: 3,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.92 : 10,840.38 = 2,032.80 : x
  2. Step 2: Convert to fraction form
    7,226.92/10,840.38 = 2,032.80/x
  3. Step 3: Cross multiply
    7,226.92x = 10,840.38 × 2,032.80
  4. Step 4: Simplify right side
    7,226.92x = 22,036,270.26
  5. Step 5: Solve for x
    x = 22,036,270.26/7,226.92
  6. Step 6: Final answer
    x = 3,049.19

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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.