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Finding the Fourth Proportional to 7,351, 11,026.56 and 2,734

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Solution

The fourth proportional to 7,351, 11,026.56 and 2,734 is: 4,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351 : 11,026.56 = 2,734 : x
  2. Step 2: Convert to fraction form
    7,351/11,026.56 = 2,734/x
  3. Step 3: Cross multiply
    7,351x = 11,026.56 × 2,734
  4. Step 4: Simplify right side
    7,351x = 30,146,615.04
  5. Step 5: Solve for x
    x = 30,146,615.04/7,351
  6. Step 6: Final answer
    x = 4,101.02

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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.