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Finding the Fourth Proportional to 7,819.56, 11,729.86 and 2,889.54

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Solution

The fourth proportional to 7,819.56, 11,729.86 and 2,889.54 is: 4,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.56 : 11,729.86 = 2,889.54 : x
  2. Step 2: Convert to fraction form
    7,819.56/11,729.86 = 2,889.54/x
  3. Step 3: Cross multiply
    7,819.56x = 11,729.86 × 2,889.54
  4. Step 4: Simplify right side
    7,819.56x = 33,893,899.66
  5. Step 5: Solve for x
    x = 33,893,899.66/7,819.56
  6. Step 6: Final answer
    x = 4,334.50

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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.