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Finding the Fourth Proportional to 11,666.25, 16,099.44 and 6,361.05

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Solution

The fourth proportional to 11,666.25, 16,099.44 and 6,361.05 is: 8,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.25 : 16,099.44 = 6,361.05 : x
  2. Step 2: Convert to fraction form
    11,666.25/16,099.44 = 6,361.05/x
  3. Step 3: Cross multiply
    11,666.25x = 16,099.44 × 6,361.05
  4. Step 4: Simplify right side
    11,666.25x = 102,409,342.81
  5. Step 5: Solve for x
    x = 102,409,342.81/11,666.25
  6. Step 6: Final answer
    x = 8,778.26

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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.