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Finding the Fourth Proportional to 7,795.94, 11,691.23 and 2,247.80

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Solution

The fourth proportional to 7,795.94, 11,691.23 and 2,247.80 is: 3,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.94 : 11,691.23 = 2,247.80 : x
  2. Step 2: Convert to fraction form
    7,795.94/11,691.23 = 2,247.80/x
  3. Step 3: Cross multiply
    7,795.94x = 11,691.23 × 2,247.80
  4. Step 4: Simplify right side
    7,795.94x = 26,279,477.10
  5. Step 5: Solve for x
    x = 26,279,477.10/7,795.94
  6. Step 6: Final answer
    x = 3,370.92

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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.