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Finding the Fourth Proportional to 11,964.84, 17,947.13 and 3,080.13

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Solution

The fourth proportional to 11,964.84, 17,947.13 and 3,080.13 is: 4,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.84 : 17,947.13 = 3,080.13 : x
  2. Step 2: Convert to fraction form
    11,964.84/17,947.13 = 3,080.13/x
  3. Step 3: Cross multiply
    11,964.84x = 17,947.13 × 3,080.13
  4. Step 4: Simplify right side
    11,964.84x = 55,279,493.53
  5. Step 5: Solve for x
    x = 55,279,493.53/11,964.84
  6. Step 6: Final answer
    x = 4,620.16

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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.