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Finding the Fourth Proportional to 7,343, 11,012.34 and 2,147.64

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Solution

The fourth proportional to 7,343, 11,012.34 and 2,147.64 is: 3,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343 : 11,012.34 = 2,147.64 : x
  2. Step 2: Convert to fraction form
    7,343/11,012.34 = 2,147.64/x
  3. Step 3: Cross multiply
    7,343x = 11,012.34 × 2,147.64
  4. Step 4: Simplify right side
    7,343x = 23,650,541.88
  5. Step 5: Solve for x
    x = 23,650,541.88/7,343
  6. Step 6: Final answer
    x = 3,220.83

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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.