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Finding the Fourth Proportional to 11,556.75, 17,347.08 and 7,117.61

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Solution

The fourth proportional to 11,556.75, 17,347.08 and 7,117.61 is: 10,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.75 : 17,347.08 = 7,117.61 : x
  2. Step 2: Convert to fraction form
    11,556.75/17,347.08 = 7,117.61/x
  3. Step 3: Cross multiply
    11,556.75x = 17,347.08 × 7,117.61
  4. Step 4: Simplify right side
    11,556.75x = 123,469,724.51
  5. Step 5: Solve for x
    x = 123,469,724.51/11,556.75
  6. Step 6: Final answer
    x = 10,683.78

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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.