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Finding the Fourth Proportional to 7,231.55, 10,847.12 and 2,301.49

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Solution

The fourth proportional to 7,231.55, 10,847.12 and 2,301.49 is: 3,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.55 : 10,847.12 = 2,301.49 : x
  2. Step 2: Convert to fraction form
    7,231.55/10,847.12 = 2,301.49/x
  3. Step 3: Cross multiply
    7,231.55x = 10,847.12 × 2,301.49
  4. Step 4: Simplify right side
    7,231.55x = 24,964,516.84
  5. Step 5: Solve for x
    x = 24,964,516.84/7,231.55
  6. Step 6: Final answer
    x = 3,452.17

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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.