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Finding the Fourth Proportional to 11,291.23, 15,584.49 and 7,514.56

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Solution

The fourth proportional to 11,291.23, 15,584.49 and 7,514.56 is: 10,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.23 : 15,584.49 = 7,514.56 : x
  2. Step 2: Convert to fraction form
    11,291.23/15,584.49 = 7,514.56/x
  3. Step 3: Cross multiply
    11,291.23x = 15,584.49 × 7,514.56
  4. Step 4: Simplify right side
    11,291.23x = 117,110,507.25
  5. Step 5: Solve for x
    x = 117,110,507.25/11,291.23
  6. Step 6: Final answer
    x = 10,371.81

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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.