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Finding the Fourth Proportional to 8,246.50, 11,380.77 and 4,709.63

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Solution

The fourth proportional to 8,246.50, 11,380.77 and 4,709.63 is: 6,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.50 : 11,380.77 = 4,709.63 : x
  2. Step 2: Convert to fraction form
    8,246.50/11,380.77 = 4,709.63/x
  3. Step 3: Cross multiply
    8,246.50x = 11,380.77 × 4,709.63
  4. Step 4: Simplify right side
    8,246.50x = 53,599,244.27
  5. Step 5: Solve for x
    x = 53,599,244.27/8,246.50
  6. Step 6: Final answer
    x = 6,499.64

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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.