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Finding the Fourth Proportional to 11,942.64, 16,482.69 and 6,906.87

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Solution

The fourth proportional to 11,942.64, 16,482.69 and 6,906.87 is: 9,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.64 : 16,482.69 = 6,906.87 : x
  2. Step 2: Convert to fraction form
    11,942.64/16,482.69 = 6,906.87/x
  3. Step 3: Cross multiply
    11,942.64x = 16,482.69 × 6,906.87
  4. Step 4: Simplify right side
    11,942.64x = 113,843,797.08
  5. Step 5: Solve for x
    x = 113,843,797.08/11,942.64
  6. Step 6: Final answer
    x = 9,532.55

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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.