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Finding the Fourth Proportional to 11,965.52, 17,949.11 and 4,064.82

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Solution

The fourth proportional to 11,965.52, 17,949.11 and 4,064.82 is: 6,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.52 : 17,949.11 = 4,064.82 : x
  2. Step 2: Convert to fraction form
    11,965.52/17,949.11 = 4,064.82/x
  3. Step 3: Cross multiply
    11,965.52x = 17,949.11 × 4,064.82
  4. Step 4: Simplify right side
    11,965.52x = 72,959,880.99
  5. Step 5: Solve for x
    x = 72,959,880.99/11,965.52
  6. Step 6: Final answer
    x = 6,097.51

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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.