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Finding the Fourth Proportional to 11,949.16, 16,485.09 and 6,912.46

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Solution

The fourth proportional to 11,949.16, 16,485.09 and 6,912.46 is: 9,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.16 : 16,485.09 = 6,912.46 : x
  2. Step 2: Convert to fraction form
    11,949.16/16,485.09 = 6,912.46/x
  3. Step 3: Cross multiply
    11,949.16x = 16,485.09 × 6,912.46
  4. Step 4: Simplify right side
    11,949.16x = 113,952,525.22
  5. Step 5: Solve for x
    x = 113,952,525.22/11,949.16
  6. Step 6: Final answer
    x = 9,536.45

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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.