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Finding the Fourth Proportional to 11,666.44, 16,099.20 and 6,361.12

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Solution

The fourth proportional to 11,666.44, 16,099.20 and 6,361.12 is: 8,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.44 : 16,099.20 = 6,361.12 : x
  2. Step 2: Convert to fraction form
    11,666.44/16,099.20 = 6,361.12/x
  3. Step 3: Cross multiply
    11,666.44x = 16,099.20 × 6,361.12
  4. Step 4: Simplify right side
    11,666.44x = 102,408,943.10
  5. Step 5: Solve for x
    x = 102,408,943.10/11,666.44
  6. Step 6: Final answer
    x = 8,778.08

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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.