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Finding the Fourth Proportional to 11,962.92, 16,508.16 and 7,486.56

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Solution

The fourth proportional to 11,962.92, 16,508.16 and 7,486.56 is: 10,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.92 : 16,508.16 = 7,486.56 : x
  2. Step 2: Convert to fraction form
    11,962.92/16,508.16 = 7,486.56/x
  3. Step 3: Cross multiply
    11,962.92x = 16,508.16 × 7,486.56
  4. Step 4: Simplify right side
    11,962.92x = 123,589,330.33
  5. Step 5: Solve for x
    x = 123,589,330.33/11,962.92
  6. Step 6: Final answer
    x = 10,331.03

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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.