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Finding the Fourth Proportional to 8,486.78, 11,711.82 and 4,709.96

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Solution

The fourth proportional to 8,486.78, 11,711.82 and 4,709.96 is: 6,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.78 : 11,711.82 = 4,709.96 : x
  2. Step 2: Convert to fraction form
    8,486.78/11,711.82 = 4,709.96/x
  3. Step 3: Cross multiply
    8,486.78x = 11,711.82 × 4,709.96
  4. Step 4: Simplify right side
    8,486.78x = 55,162,203.73
  5. Step 5: Solve for x
    x = 55,162,203.73/8,486.78
  6. Step 6: Final answer
    x = 6,499.78

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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.