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Finding the Fourth Proportional to 8,486.75, 11,711.69 and 4,709.96

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Solution

The fourth proportional to 8,486.75, 11,711.69 and 4,709.96 is: 6,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.75 : 11,711.69 = 4,709.96 : x
  2. Step 2: Convert to fraction form
    8,486.75/11,711.69 = 4,709.96/x
  3. Step 3: Cross multiply
    8,486.75x = 11,711.69 × 4,709.96
  4. Step 4: Simplify right side
    8,486.75x = 55,161,557.84
  5. Step 5: Solve for x
    x = 55,161,557.84/8,486.75
  6. Step 6: Final answer
    x = 6,499.73

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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.