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Finding the Fourth Proportional to 7,541, 11,311.82 and 2,069

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Solution

The fourth proportional to 7,541, 11,311.82 and 2,069 is: 3,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541 : 11,311.82 = 2,069 : x
  2. Step 2: Convert to fraction form
    7,541/11,311.82 = 2,069/x
  3. Step 3: Cross multiply
    7,541x = 11,311.82 × 2,069
  4. Step 4: Simplify right side
    7,541x = 23,404,155.58
  5. Step 5: Solve for x
    x = 23,404,155.58/7,541
  6. Step 6: Final answer
    x = 3,103.59

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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.