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Finding the Fourth Proportional to 11,835.24, 17,758.13 and 6,287.24

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Solution

The fourth proportional to 11,835.24, 17,758.13 and 6,287.24 is: 9,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.24 : 17,758.13 = 6,287.24 : x
  2. Step 2: Convert to fraction form
    11,835.24/17,758.13 = 6,287.24/x
  3. Step 3: Cross multiply
    11,835.24x = 17,758.13 × 6,287.24
  4. Step 4: Simplify right side
    11,835.24x = 111,649,505.03
  5. Step 5: Solve for x
    x = 111,649,505.03/11,835.24
  6. Step 6: Final answer
    x = 9,433.65

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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.