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Finding the Fourth Proportional to 11,538.69, 15,917.69 and 7,231.01

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Solution

The fourth proportional to 11,538.69, 15,917.69 and 7,231.01 is: 9,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.69 : 15,917.69 = 7,231.01 : x
  2. Step 2: Convert to fraction form
    11,538.69/15,917.69 = 7,231.01/x
  3. Step 3: Cross multiply
    11,538.69x = 15,917.69 × 7,231.01
  4. Step 4: Simplify right side
    11,538.69x = 115,100,859.82
  5. Step 5: Solve for x
    x = 115,100,859.82/11,538.69
  6. Step 6: Final answer
    x = 9,975.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.