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Finding the Fourth Proportional to 8,729.80, 13,094.70 and 5,230.60

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Solution

The fourth proportional to 8,729.80, 13,094.70 and 5,230.60 is: 7,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.80 : 13,094.70 = 5,230.60 : x
  2. Step 2: Convert to fraction form
    8,729.80/13,094.70 = 5,230.60/x
  3. Step 3: Cross multiply
    8,729.80x = 13,094.70 × 5,230.60
  4. Step 4: Simplify right side
    8,729.80x = 68,493,137.82
  5. Step 5: Solve for x
    x = 68,493,137.82/8,729.80
  6. Step 6: Final answer
    x = 7,845.90

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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.