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Finding the Fourth Proportional to 11,765.90, 16,234.86 and 7,785.56

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Solution

The fourth proportional to 11,765.90, 16,234.86 and 7,785.56 is: 10,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.90 : 16,234.86 = 7,785.56 : x
  2. Step 2: Convert to fraction form
    11,765.90/16,234.86 = 7,785.56/x
  3. Step 3: Cross multiply
    11,765.90x = 16,234.86 × 7,785.56
  4. Step 4: Simplify right side
    11,765.90x = 126,397,476.62
  5. Step 5: Solve for x
    x = 126,397,476.62/11,765.90
  6. Step 6: Final answer
    x = 10,742.70

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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.