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Finding the Fourth Proportional to 11,965.99, 17,949 and 3,200.90

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Solution

The fourth proportional to 11,965.99, 17,949 and 3,200.90 is: 4,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.99 : 17,949 = 3,200.90 : x
  2. Step 2: Convert to fraction form
    11,965.99/17,949 = 3,200.90/x
  3. Step 3: Cross multiply
    11,965.99x = 17,949 × 3,200.90
  4. Step 4: Simplify right side
    11,965.99x = 57,452,954.10
  5. Step 5: Solve for x
    x = 57,452,954.10/11,965.99
  6. Step 6: Final answer
    x = 4,801.35

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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.