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Finding the Fourth Proportional to 7,211.14, 10,812.06 and 2,829.04

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Solution

The fourth proportional to 7,211.14, 10,812.06 and 2,829.04 is: 4,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.14 : 10,812.06 = 2,829.04 : x
  2. Step 2: Convert to fraction form
    7,211.14/10,812.06 = 2,829.04/x
  3. Step 3: Cross multiply
    7,211.14x = 10,812.06 × 2,829.04
  4. Step 4: Simplify right side
    7,211.14x = 30,587,750.22
  5. Step 5: Solve for x
    x = 30,587,750.22/7,211.14
  6. Step 6: Final answer
    x = 4,241.74

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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.