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Finding the Fourth Proportional to 7,969.66, 11,956.11 and 2,775.94

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Solution

The fourth proportional to 7,969.66, 11,956.11 and 2,775.94 is: 4,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.66 : 11,956.11 = 2,775.94 : x
  2. Step 2: Convert to fraction form
    7,969.66/11,956.11 = 2,775.94/x
  3. Step 3: Cross multiply
    7,969.66x = 11,956.11 × 2,775.94
  4. Step 4: Simplify right side
    7,969.66x = 33,189,443.99
  5. Step 5: Solve for x
    x = 33,189,443.99/7,969.66
  6. Step 6: Final answer
    x = 4,164.47

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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.