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Finding the Fourth Proportional to 11,741.60, 16,207.82 and 7,768.14

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Solution

The fourth proportional to 11,741.60, 16,207.82 and 7,768.14 is: 10,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.60 : 16,207.82 = 7,768.14 : x
  2. Step 2: Convert to fraction form
    11,741.60/16,207.82 = 7,768.14/x
  3. Step 3: Cross multiply
    11,741.60x = 16,207.82 × 7,768.14
  4. Step 4: Simplify right side
    11,741.60x = 125,904,614.85
  5. Step 5: Solve for x
    x = 125,904,614.85/11,741.60
  6. Step 6: Final answer
    x = 10,722.95

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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.