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Finding the Fourth Proportional to 11,647.44, 16,072.97 and 6,342.30

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Solution

The fourth proportional to 11,647.44, 16,072.97 and 6,342.30 is: 8,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.44 : 16,072.97 = 6,342.30 : x
  2. Step 2: Convert to fraction form
    11,647.44/16,072.97 = 6,342.30/x
  3. Step 3: Cross multiply
    11,647.44x = 16,072.97 × 6,342.30
  4. Step 4: Simplify right side
    11,647.44x = 101,939,565.92
  5. Step 5: Solve for x
    x = 101,939,565.92/11,647.44
  6. Step 6: Final answer
    x = 8,752.10

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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.