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Finding the Fourth Proportional to 11,965.90, 17,949.03 and 3,200.71

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Solution

The fourth proportional to 11,965.90, 17,949.03 and 3,200.71 is: 4,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.90 : 17,949.03 = 3,200.71 : x
  2. Step 2: Convert to fraction form
    11,965.90/17,949.03 = 3,200.71/x
  3. Step 3: Cross multiply
    11,965.90x = 17,949.03 × 3,200.71
  4. Step 4: Simplify right side
    11,965.90x = 57,449,639.81
  5. Step 5: Solve for x
    x = 57,449,639.81/11,965.90
  6. Step 6: Final answer
    x = 4,801.11

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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.