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Finding the Fourth Proportional to 11,907.44, 16,432.92 and 8,131.20

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Solution

The fourth proportional to 11,907.44, 16,432.92 and 8,131.20 is: 11,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.44 : 16,432.92 = 8,131.20 : x
  2. Step 2: Convert to fraction form
    11,907.44/16,432.92 = 8,131.20/x
  3. Step 3: Cross multiply
    11,907.44x = 16,432.92 × 8,131.20
  4. Step 4: Simplify right side
    11,907.44x = 133,619,359.10
  5. Step 5: Solve for x
    x = 133,619,359.10/11,907.44
  6. Step 6: Final answer
    x = 11,221.50

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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.