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Finding the Fourth Proportional to 8,202.24, 12,292.96 and 5,239.54

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Solution

The fourth proportional to 8,202.24, 12,292.96 and 5,239.54 is: 7,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.24 : 12,292.96 = 5,239.54 : x
  2. Step 2: Convert to fraction form
    8,202.24/12,292.96 = 5,239.54/x
  3. Step 3: Cross multiply
    8,202.24x = 12,292.96 × 5,239.54
  4. Step 4: Simplify right side
    8,202.24x = 64,409,455.64
  5. Step 5: Solve for x
    x = 64,409,455.64/8,202.24
  6. Step 6: Final answer
    x = 7,852.67

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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.