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Finding the Fourth Proportional to 7,212.11, 10,822.28 and 2,832.71

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Solution

The fourth proportional to 7,212.11, 10,822.28 and 2,832.71 is: 4,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.11 : 10,822.28 = 2,832.71 : x
  2. Step 2: Convert to fraction form
    7,212.11/10,822.28 = 2,832.71/x
  3. Step 3: Cross multiply
    7,212.11x = 10,822.28 × 2,832.71
  4. Step 4: Simplify right side
    7,212.11x = 30,656,312.50
  5. Step 5: Solve for x
    x = 30,656,312.50/7,212.11
  6. Step 6: Final answer
    x = 4,250.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.