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Finding the Fourth Proportional to 11,735.08, 16,191.79 and 6,697.69

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Solution

The fourth proportional to 11,735.08, 16,191.79 and 6,697.69 is: 9,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.08 : 16,191.79 = 6,697.69 : x
  2. Step 2: Convert to fraction form
    11,735.08/16,191.79 = 6,697.69/x
  3. Step 3: Cross multiply
    11,735.08x = 16,191.79 × 6,697.69
  4. Step 4: Simplify right side
    11,735.08x = 108,447,623.82
  5. Step 5: Solve for x
    x = 108,447,623.82/11,735.08
  6. Step 6: Final answer
    x = 9,241.32

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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.