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Finding the Fourth Proportional to 11,734.71, 16,187.85 and 7,956.60

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Solution

The fourth proportional to 11,734.71, 16,187.85 and 7,956.60 is: 10,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.71 : 16,187.85 = 7,956.60 : x
  2. Step 2: Convert to fraction form
    11,734.71/16,187.85 = 7,956.60/x
  3. Step 3: Cross multiply
    11,734.71x = 16,187.85 × 7,956.60
  4. Step 4: Simplify right side
    11,734.71x = 128,800,247.31
  5. Step 5: Solve for x
    x = 128,800,247.31/11,734.71
  6. Step 6: Final answer
    x = 10,976.01

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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.