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Finding the Fourth Proportional to 11,424.87, 17,143.25 and 5,189.31

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Solution

The fourth proportional to 11,424.87, 17,143.25 and 5,189.31 is: 7,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.87 : 17,143.25 = 5,189.31 : x
  2. Step 2: Convert to fraction form
    11,424.87/17,143.25 = 5,189.31/x
  3. Step 3: Cross multiply
    11,424.87x = 17,143.25 × 5,189.31
  4. Step 4: Simplify right side
    11,424.87x = 88,961,612.71
  5. Step 5: Solve for x
    x = 88,961,612.71/11,424.87
  6. Step 6: Final answer
    x = 7,786.66

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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.