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Finding the Fourth Proportional to 7,694.66, 11,536.51 and 3,947.57

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Solution

The fourth proportional to 7,694.66, 11,536.51 and 3,947.57 is: 5,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.66 : 11,536.51 = 3,947.57 : x
  2. Step 2: Convert to fraction form
    7,694.66/11,536.51 = 3,947.57/x
  3. Step 3: Cross multiply
    7,694.66x = 11,536.51 × 3,947.57
  4. Step 4: Simplify right side
    7,694.66x = 45,541,123.10
  5. Step 5: Solve for x
    x = 45,541,123.10/7,694.66
  6. Step 6: Final answer
    x = 5,918.54

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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.