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Finding the Fourth Proportional to 7,354.46, 11,033.54 and 2,160.34

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Solution

The fourth proportional to 7,354.46, 11,033.54 and 2,160.34 is: 3,241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.46 : 11,033.54 = 2,160.34 : x
  2. Step 2: Convert to fraction form
    7,354.46/11,033.54 = 2,160.34/x
  3. Step 3: Cross multiply
    7,354.46x = 11,033.54 × 2,160.34
  4. Step 4: Simplify right side
    7,354.46x = 23,836,197.80
  5. Step 5: Solve for x
    x = 23,836,197.80/7,354.46
  6. Step 6: Final answer
    x = 3,241.05

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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.