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Finding the Fourth Proportional to 11,666.08, 16,099.64 and 6,361.20

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Solution

The fourth proportional to 11,666.08, 16,099.64 and 6,361.20 is: 8,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.08 : 16,099.64 = 6,361.20 : x
  2. Step 2: Convert to fraction form
    11,666.08/16,099.64 = 6,361.20/x
  3. Step 3: Cross multiply
    11,666.08x = 16,099.64 × 6,361.20
  4. Step 4: Simplify right side
    11,666.08x = 102,413,029.97
  5. Step 5: Solve for x
    x = 102,413,029.97/11,666.08
  6. Step 6: Final answer
    x = 8,778.70

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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.