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Finding the Fourth Proportional to 8,317.78, 11,478.29 and 4,540.97

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Solution

The fourth proportional to 8,317.78, 11,478.29 and 4,540.97 is: 6,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.78 : 11,478.29 = 4,540.97 : x
  2. Step 2: Convert to fraction form
    8,317.78/11,478.29 = 4,540.97/x
  3. Step 3: Cross multiply
    8,317.78x = 11,478.29 × 4,540.97
  4. Step 4: Simplify right side
    8,317.78x = 52,122,576.53
  5. Step 5: Solve for x
    x = 52,122,576.53/8,317.78
  6. Step 6: Final answer
    x = 6,266.41

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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.