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Finding the Fourth Proportional to 11,448.64, 17,171.90 and 4,424.42

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Solution

The fourth proportional to 11,448.64, 17,171.90 and 4,424.42 is: 6,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.64 : 17,171.90 = 4,424.42 : x
  2. Step 2: Convert to fraction form
    11,448.64/17,171.90 = 4,424.42/x
  3. Step 3: Cross multiply
    11,448.64x = 17,171.90 × 4,424.42
  4. Step 4: Simplify right side
    11,448.64x = 75,975,735.20
  5. Step 5: Solve for x
    x = 75,975,735.20/11,448.64
  6. Step 6: Final answer
    x = 6,636.22

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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.