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Finding the Fourth Proportional to 6,511.92, 9,765.63 and 2,128.56

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Solution

The fourth proportional to 6,511.92, 9,765.63 and 2,128.56 is: 3,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.92 : 9,765.63 = 2,128.56 : x
  2. Step 2: Convert to fraction form
    6,511.92/9,765.63 = 2,128.56/x
  3. Step 3: Cross multiply
    6,511.92x = 9,765.63 × 2,128.56
  4. Step 4: Simplify right side
    6,511.92x = 20,786,729.39
  5. Step 5: Solve for x
    x = 20,786,729.39/6,511.92
  6. Step 6: Final answer
    x = 3,192.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.