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Finding the Fourth Proportional to 8,202.04, 11,317.84 and 5,176.04

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Solution

The fourth proportional to 8,202.04, 11,317.84 and 5,176.04 is: 7,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.04 : 11,317.84 = 5,176.04 : x
  2. Step 2: Convert to fraction form
    8,202.04/11,317.84 = 5,176.04/x
  3. Step 3: Cross multiply
    8,202.04x = 11,317.84 × 5,176.04
  4. Step 4: Simplify right side
    8,202.04x = 58,581,592.55
  5. Step 5: Solve for x
    x = 58,581,592.55/8,202.04
  6. Step 6: Final answer
    x = 7,142.32

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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.