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Finding the Fourth Proportional to 8,499.67, 12,735.60 and 5,202.70

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Solution

The fourth proportional to 8,499.67, 12,735.60 and 5,202.70 is: 7,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.67 : 12,735.60 = 5,202.70 : x
  2. Step 2: Convert to fraction form
    8,499.67/12,735.60 = 5,202.70/x
  3. Step 3: Cross multiply
    8,499.67x = 12,735.60 × 5,202.70
  4. Step 4: Simplify right side
    8,499.67x = 66,259,506.12
  5. Step 5: Solve for x
    x = 66,259,506.12/8,499.67
  6. Step 6: Final answer
    x = 7,795.54

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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.