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Finding the Fourth Proportional to 11,778.14, 16,256.13 and 7,799.42

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Solution

The fourth proportional to 11,778.14, 16,256.13 and 7,799.42 is: 10,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.14 : 16,256.13 = 7,799.42 : x
  2. Step 2: Convert to fraction form
    11,778.14/16,256.13 = 7,799.42/x
  3. Step 3: Cross multiply
    11,778.14x = 16,256.13 × 7,799.42
  4. Step 4: Simplify right side
    11,778.14x = 126,788,385.44
  5. Step 5: Solve for x
    x = 126,788,385.44/11,778.14
  6. Step 6: Final answer
    x = 10,764.72

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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.