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Finding the Fourth Proportional to 8,683.44, 11,983.74 and 4,905.30

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Solution

The fourth proportional to 8,683.44, 11,983.74 and 4,905.30 is: 6,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.44 : 11,983.74 = 4,905.30 : x
  2. Step 2: Convert to fraction form
    8,683.44/11,983.74 = 4,905.30/x
  3. Step 3: Cross multiply
    8,683.44x = 11,983.74 × 4,905.30
  4. Step 4: Simplify right side
    8,683.44x = 58,783,839.82
  5. Step 5: Solve for x
    x = 58,783,839.82/8,683.44
  6. Step 6: Final answer
    x = 6,769.65

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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.