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Finding the Fourth Proportional to 11,666.17, 16,099.39 and 6,361.08

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Solution

The fourth proportional to 11,666.17, 16,099.39 and 6,361.08 is: 8,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.17 : 16,099.39 = 6,361.08 : x
  2. Step 2: Convert to fraction form
    11,666.17/16,099.39 = 6,361.08/x
  3. Step 3: Cross multiply
    11,666.17x = 16,099.39 × 6,361.08
  4. Step 4: Simplify right side
    11,666.17x = 102,409,507.74
  5. Step 5: Solve for x
    x = 102,409,507.74/11,666.17
  6. Step 6: Final answer
    x = 8,778.33

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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.