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Finding the Fourth Proportional to 10,324.90, 14,250.63 and 6,788.44

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Solution

The fourth proportional to 10,324.90, 14,250.63 and 6,788.44 is: 9,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.90 : 14,250.63 = 6,788.44 : x
  2. Step 2: Convert to fraction form
    10,324.90/14,250.63 = 6,788.44/x
  3. Step 3: Cross multiply
    10,324.90x = 14,250.63 × 6,788.44
  4. Step 4: Simplify right side
    10,324.90x = 96,739,546.72
  5. Step 5: Solve for x
    x = 96,739,546.72/10,324.90
  6. Step 6: Final answer
    x = 9,369.54

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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.