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Finding the Fourth Proportional to 8,174.40, 11,280.36 and 4,448.40

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Solution

The fourth proportional to 8,174.40, 11,280.36 and 4,448.40 is: 6,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.40 : 11,280.36 = 4,448.40 : x
  2. Step 2: Convert to fraction form
    8,174.40/11,280.36 = 4,448.40/x
  3. Step 3: Cross multiply
    8,174.40x = 11,280.36 × 4,448.40
  4. Step 4: Simplify right side
    8,174.40x = 50,179,553.42
  5. Step 5: Solve for x
    x = 50,179,553.42/8,174.40
  6. Step 6: Final answer
    x = 6,138.62

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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.