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Finding the Fourth Proportional to 11,664.90, 16,097.09 and 6,359.60

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Solution

The fourth proportional to 11,664.90, 16,097.09 and 6,359.60 is: 8,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.90 : 16,097.09 = 6,359.60 : x
  2. Step 2: Convert to fraction form
    11,664.90/16,097.09 = 6,359.60/x
  3. Step 3: Cross multiply
    11,664.90x = 16,097.09 × 6,359.60
  4. Step 4: Simplify right side
    11,664.90x = 102,371,025.49
  5. Step 5: Solve for x
    x = 102,371,025.49/11,664.90
  6. Step 6: Final answer
    x = 8,775.99

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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.