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Finding the Fourth Proportional to 7,729.92, 11,597.04 and 3,047.04

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Solution

The fourth proportional to 7,729.92, 11,597.04 and 3,047.04 is: 4,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.92 : 11,597.04 = 3,047.04 : x
  2. Step 2: Convert to fraction form
    7,729.92/11,597.04 = 3,047.04/x
  3. Step 3: Cross multiply
    7,729.92x = 11,597.04 × 3,047.04
  4. Step 4: Simplify right side
    7,729.92x = 35,336,644.76
  5. Step 5: Solve for x
    x = 35,336,644.76/7,729.92
  6. Step 6: Final answer
    x = 4,571.41

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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.