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Finding the Fourth Proportional to 8,202.96, 11,321.28 and 4,667.04

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Solution

The fourth proportional to 8,202.96, 11,321.28 and 4,667.04 is: 6,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.96 : 11,321.28 = 4,667.04 : x
  2. Step 2: Convert to fraction form
    8,202.96/11,321.28 = 4,667.04/x
  3. Step 3: Cross multiply
    8,202.96x = 11,321.28 × 4,667.04
  4. Step 4: Simplify right side
    8,202.96x = 52,836,866.61
  5. Step 5: Solve for x
    x = 52,836,866.61/8,202.96
  6. Step 6: Final answer
    x = 6,441.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.