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Finding the Fourth Proportional to 11,648.96, 16,083 and 8,954.96

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Solution

The fourth proportional to 11,648.96, 16,083 and 8,954.96 is: 12,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.96 : 16,083 = 8,954.96 : x
  2. Step 2: Convert to fraction form
    11,648.96/16,083 = 8,954.96/x
  3. Step 3: Cross multiply
    11,648.96x = 16,083 × 8,954.96
  4. Step 4: Simplify right side
    11,648.96x = 144,022,621.68
  5. Step 5: Solve for x
    x = 144,022,621.68/11,648.96
  6. Step 6: Final answer
    x = 12,363.56

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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.