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Finding the Fourth Proportional to 11,735.63, 16,195.06 and 6,357.94

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Solution

The fourth proportional to 11,735.63, 16,195.06 and 6,357.94 is: 8,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.63 : 16,195.06 = 6,357.94 : x
  2. Step 2: Convert to fraction form
    11,735.63/16,195.06 = 6,357.94/x
  3. Step 3: Cross multiply
    11,735.63x = 16,195.06 × 6,357.94
  4. Step 4: Simplify right side
    11,735.63x = 102,967,236.05
  5. Step 5: Solve for x
    x = 102,967,236.05/11,735.63
  6. Step 6: Final answer
    x = 8,773.90

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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.