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Finding the Fourth Proportional to 11,540.82, 15,926.82 and 6,505.26

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Solution

The fourth proportional to 11,540.82, 15,926.82 and 6,505.26 is: 8,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.82 : 15,926.82 = 6,505.26 : x
  2. Step 2: Convert to fraction form
    11,540.82/15,926.82 = 6,505.26/x
  3. Step 3: Cross multiply
    11,540.82x = 15,926.82 × 6,505.26
  4. Step 4: Simplify right side
    11,540.82x = 103,608,105.07
  5. Step 5: Solve for x
    x = 103,608,105.07/11,540.82
  6. Step 6: Final answer
    x = 8,977.53

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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.