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Finding the Fourth Proportional to 8,825.92, 13,235.42 and 3,202.26

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Solution

The fourth proportional to 8,825.92, 13,235.42 and 3,202.26 is: 4,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.92 : 13,235.42 = 3,202.26 : x
  2. Step 2: Convert to fraction form
    8,825.92/13,235.42 = 3,202.26/x
  3. Step 3: Cross multiply
    8,825.92x = 13,235.42 × 3,202.26
  4. Step 4: Simplify right side
    8,825.92x = 42,383,256.05
  5. Step 5: Solve for x
    x = 42,383,256.05/8,825.92
  6. Step 6: Final answer
    x = 4,802.13

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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.