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Finding the Fourth Proportional to 11,453.29, 17,164.90 and 8,301.31

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Solution

The fourth proportional to 11,453.29, 17,164.90 and 8,301.31 is: 12,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.29 : 17,164.90 = 8,301.31 : x
  2. Step 2: Convert to fraction form
    11,453.29/17,164.90 = 8,301.31/x
  3. Step 3: Cross multiply
    11,453.29x = 17,164.90 × 8,301.31
  4. Step 4: Simplify right side
    11,453.29x = 142,491,123.48
  5. Step 5: Solve for x
    x = 142,491,123.48/11,453.29
  6. Step 6: Final answer
    x = 12,441.07

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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.