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Finding the Fourth Proportional to 11,462.57, 17,193.28 and 3,142.45

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Solution

The fourth proportional to 11,462.57, 17,193.28 and 3,142.45 is: 4,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.57 : 17,193.28 = 3,142.45 : x
  2. Step 2: Convert to fraction form
    11,462.57/17,193.28 = 3,142.45/x
  3. Step 3: Cross multiply
    11,462.57x = 17,193.28 × 3,142.45
  4. Step 4: Simplify right side
    11,462.57x = 54,029,022.74
  5. Step 5: Solve for x
    x = 54,029,022.74/11,462.57
  6. Step 6: Final answer
    x = 4,713.52

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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.