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Finding the Fourth Proportional to 11,519.84, 17,288.40 and 7,143.68

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Solution

The fourth proportional to 11,519.84, 17,288.40 and 7,143.68 is: 10,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519.84 : 17,288.40 = 7,143.68 : x
  2. Step 2: Convert to fraction form
    11,519.84/17,288.40 = 7,143.68/x
  3. Step 3: Cross multiply
    11,519.84x = 17,288.40 × 7,143.68
  4. Step 4: Simplify right side
    11,519.84x = 123,502,797.31
  5. Step 5: Solve for x
    x = 123,502,797.31/11,519.84
  6. Step 6: Final answer
    x = 10,720.88

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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.