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Finding the Fourth Proportional to 8,735.85, 13,106.46 and 5,229.82

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Solution

The fourth proportional to 8,735.85, 13,106.46 and 5,229.82 is: 7,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.85 : 13,106.46 = 5,229.82 : x
  2. Step 2: Convert to fraction form
    8,735.85/13,106.46 = 5,229.82/x
  3. Step 3: Cross multiply
    8,735.85x = 13,106.46 × 5,229.82
  4. Step 4: Simplify right side
    8,735.85x = 68,544,359.49
  5. Step 5: Solve for x
    x = 68,544,359.49/8,735.85
  6. Step 6: Final answer
    x = 7,846.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.