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Finding the Fourth Proportional to 7,354.92, 11,032.56 and 2,161.20

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Solution

The fourth proportional to 7,354.92, 11,032.56 and 2,161.20 is: 3,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.92 : 11,032.56 = 2,161.20 : x
  2. Step 2: Convert to fraction form
    7,354.92/11,032.56 = 2,161.20/x
  3. Step 3: Cross multiply
    7,354.92x = 11,032.56 × 2,161.20
  4. Step 4: Simplify right side
    7,354.92x = 23,843,568.67
  5. Step 5: Solve for x
    x = 23,843,568.67/7,354.92
  6. Step 6: Final answer
    x = 3,241.85

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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.