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Finding the Fourth Proportional to 11,589.33, 17,407.25 and 6,918.47

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Solution

The fourth proportional to 11,589.33, 17,407.25 and 6,918.47 is: 10,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.33 : 17,407.25 = 6,918.47 : x
  2. Step 2: Convert to fraction form
    11,589.33/17,407.25 = 6,918.47/x
  3. Step 3: Cross multiply
    11,589.33x = 17,407.25 × 6,918.47
  4. Step 4: Simplify right side
    11,589.33x = 120,431,536.91
  5. Step 5: Solve for x
    x = 120,431,536.91/11,589.33
  6. Step 6: Final answer
    x = 10,391.59

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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.