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Finding the Fourth Proportional to 11,540.53, 17,308.23 and 5,617.27

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Solution

The fourth proportional to 11,540.53, 17,308.23 and 5,617.27 is: 8,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.53 : 17,308.23 = 5,617.27 : x
  2. Step 2: Convert to fraction form
    11,540.53/17,308.23 = 5,617.27/x
  3. Step 3: Cross multiply
    11,540.53x = 17,308.23 × 5,617.27
  4. Step 4: Simplify right side
    11,540.53x = 97,225,001.13
  5. Step 5: Solve for x
    x = 97,225,001.13/11,540.53
  6. Step 6: Final answer
    x = 8,424.66

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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.