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Finding the Fourth Proportional to 11,856.20, 16,361.46 and 6,551

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Solution

The fourth proportional to 11,856.20, 16,361.46 and 6,551 is: 9,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.20 : 16,361.46 = 6,551 : x
  2. Step 2: Convert to fraction form
    11,856.20/16,361.46 = 6,551/x
  3. Step 3: Cross multiply
    11,856.20x = 16,361.46 × 6,551
  4. Step 4: Simplify right side
    11,856.20x = 107,183,924.46
  5. Step 5: Solve for x
    x = 107,183,924.46/11,856.20
  6. Step 6: Final answer
    x = 9,040.33

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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.