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Finding the Fourth Proportional to 11,843.30, 17,732.14 and 5,987.68

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Solution

The fourth proportional to 11,843.30, 17,732.14 and 5,987.68 is: 8,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.30 : 17,732.14 = 5,987.68 : x
  2. Step 2: Convert to fraction form
    11,843.30/17,732.14 = 5,987.68/x
  3. Step 3: Cross multiply
    11,843.30x = 17,732.14 × 5,987.68
  4. Step 4: Simplify right side
    11,843.30x = 106,174,380.04
  5. Step 5: Solve for x
    x = 106,174,380.04/11,843.30
  6. Step 6: Final answer
    x = 8,964.93

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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.