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Finding the Fourth Proportional to 7,161.96, 10,729.50 and 4,231.56

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Solution

The fourth proportional to 7,161.96, 10,729.50 and 4,231.56 is: 6,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.96 : 10,729.50 = 4,231.56 : x
  2. Step 2: Convert to fraction form
    7,161.96/10,729.50 = 4,231.56/x
  3. Step 3: Cross multiply
    7,161.96x = 10,729.50 × 4,231.56
  4. Step 4: Simplify right side
    7,161.96x = 45,402,523.02
  5. Step 5: Solve for x
    x = 45,402,523.02/7,161.96
  6. Step 6: Final answer
    x = 6,339.40

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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.