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Finding the Fourth Proportional to 6,511.34, 9,768.55 and 2,128.78

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Solution

The fourth proportional to 6,511.34, 9,768.55 and 2,128.78 is: 3,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.34 : 9,768.55 = 2,128.78 : x
  2. Step 2: Convert to fraction form
    6,511.34/9,768.55 = 2,128.78/x
  3. Step 3: Cross multiply
    6,511.34x = 9,768.55 × 2,128.78
  4. Step 4: Simplify right side
    6,511.34x = 20,795,104.75
  5. Step 5: Solve for x
    x = 20,795,104.75/6,511.34
  6. Step 6: Final answer
    x = 3,193.68

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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.