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Finding the Fourth Proportional to 7,443, 10,271.34 and 4,131

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Solution

The fourth proportional to 7,443, 10,271.34 and 4,131 is: 5,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443 : 10,271.34 = 4,131 : x
  2. Step 2: Convert to fraction form
    7,443/10,271.34 = 4,131/x
  3. Step 3: Cross multiply
    7,443x = 10,271.34 × 4,131
  4. Step 4: Simplify right side
    7,443x = 42,430,905.54
  5. Step 5: Solve for x
    x = 42,430,905.54/7,443
  6. Step 6: Final answer
    x = 5,700.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.