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Finding the Fourth Proportional to 11,664.25, 16,096.62 and 6,359.05

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Solution

The fourth proportional to 11,664.25, 16,096.62 and 6,359.05 is: 8,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.25 : 16,096.62 = 6,359.05 : x
  2. Step 2: Convert to fraction form
    11,664.25/16,096.62 = 6,359.05/x
  3. Step 3: Cross multiply
    11,664.25x = 16,096.62 × 6,359.05
  4. Step 4: Simplify right side
    11,664.25x = 102,359,211.41
  5. Step 5: Solve for x
    x = 102,359,211.41/11,664.25
  6. Step 6: Final answer
    x = 8,775.46

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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.