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Finding the Fourth Proportional to 7,866.27, 11,803.97 and 2,935.73

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Solution

The fourth proportional to 7,866.27, 11,803.97 and 2,935.73 is: 4,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.27 : 11,803.97 = 2,935.73 : x
  2. Step 2: Convert to fraction form
    7,866.27/11,803.97 = 2,935.73/x
  3. Step 3: Cross multiply
    7,866.27x = 11,803.97 × 2,935.73
  4. Step 4: Simplify right side
    7,866.27x = 34,653,195.15
  5. Step 5: Solve for x
    x = 34,653,195.15/7,866.27
  6. Step 6: Final answer
    x = 4,405.29

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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.