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Finding the Fourth Proportional to 7,930.76, 11,891.09 and 6,756.14

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Solution

The fourth proportional to 7,930.76, 11,891.09 and 6,756.14 is: 10,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.76 : 11,891.09 = 6,756.14 : x
  2. Step 2: Convert to fraction form
    7,930.76/11,891.09 = 6,756.14/x
  3. Step 3: Cross multiply
    7,930.76x = 11,891.09 × 6,756.14
  4. Step 4: Simplify right side
    7,930.76x = 80,337,775.56
  5. Step 5: Solve for x
    x = 80,337,775.56/7,930.76
  6. Step 6: Final answer
    x = 10,129.90

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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.