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Finding the Fourth Proportional to 11,965.98, 17,948.97 and 5,724.52

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Solution

The fourth proportional to 11,965.98, 17,948.97 and 5,724.52 is: 8,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.98 : 17,948.97 = 5,724.52 : x
  2. Step 2: Convert to fraction form
    11,965.98/17,948.97 = 5,724.52/x
  3. Step 3: Cross multiply
    11,965.98x = 17,948.97 × 5,724.52
  4. Step 4: Simplify right side
    11,965.98x = 102,749,237.74
  5. Step 5: Solve for x
    x = 102,749,237.74/11,965.98
  6. Step 6: Final answer
    x = 8,586.78

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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.