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Finding the Fourth Proportional to 7,226.88, 10,840.31 and 2,032.75

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Solution

The fourth proportional to 7,226.88, 10,840.31 and 2,032.75 is: 3,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.88 : 10,840.31 = 2,032.75 : x
  2. Step 2: Convert to fraction form
    7,226.88/10,840.31 = 2,032.75/x
  3. Step 3: Cross multiply
    7,226.88x = 10,840.31 × 2,032.75
  4. Step 4: Simplify right side
    7,226.88x = 22,035,640.15
  5. Step 5: Solve for x
    x = 22,035,640.15/7,226.88
  6. Step 6: Final answer
    x = 3,049.12

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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.