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Finding the Fourth Proportional to 11,944.54, 16,485.62 and 6,908.06

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Solution

The fourth proportional to 11,944.54, 16,485.62 and 6,908.06 is: 9,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.54 : 16,485.62 = 6,908.06 : x
  2. Step 2: Convert to fraction form
    11,944.54/16,485.62 = 6,908.06/x
  3. Step 3: Cross multiply
    11,944.54x = 16,485.62 × 6,908.06
  4. Step 4: Simplify right side
    11,944.54x = 113,883,652.10
  5. Step 5: Solve for x
    x = 113,883,652.10/11,944.54
  6. Step 6: Final answer
    x = 9,534.37

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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.