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Finding the Fourth Proportional to 11,505.72, 17,245.62 and 5,666.43

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Solution

The fourth proportional to 11,505.72, 17,245.62 and 5,666.43 is: 8,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.72 : 17,245.62 = 5,666.43 : x
  2. Step 2: Convert to fraction form
    11,505.72/17,245.62 = 5,666.43/x
  3. Step 3: Cross multiply
    11,505.72x = 17,245.62 × 5,666.43
  4. Step 4: Simplify right side
    11,505.72x = 97,721,098.54
  5. Step 5: Solve for x
    x = 97,721,098.54/11,505.72
  6. Step 6: Final answer
    x = 8,493.26

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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.