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Finding the Fourth Proportional to 11,832.48, 17,739.76 and 7,151.48

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Solution

The fourth proportional to 11,832.48, 17,739.76 and 7,151.48 is: 10,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.48 : 17,739.76 = 7,151.48 : x
  2. Step 2: Convert to fraction form
    11,832.48/17,739.76 = 7,151.48/x
  3. Step 3: Cross multiply
    11,832.48x = 17,739.76 × 7,151.48
  4. Step 4: Simplify right side
    11,832.48x = 126,865,538.84
  5. Step 5: Solve for x
    x = 126,865,538.84/11,832.48
  6. Step 6: Final answer
    x = 10,721.80

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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.