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Finding the Fourth Proportional to 11,669.67, 16,099.56 and 6,563.99

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Solution

The fourth proportional to 11,669.67, 16,099.56 and 6,563.99 is: 9,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.67 : 16,099.56 = 6,563.99 : x
  2. Step 2: Convert to fraction form
    11,669.67/16,099.56 = 6,563.99/x
  3. Step 3: Cross multiply
    11,669.67x = 16,099.56 × 6,563.99
  4. Step 4: Simplify right side
    11,669.67x = 105,677,391.09
  5. Step 5: Solve for x
    x = 105,677,391.09/11,669.67
  6. Step 6: Final answer
    x = 9,055.73

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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.