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Finding the Fourth Proportional to 11,665.92, 16,099.02 and 7,476.60

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Solution

The fourth proportional to 11,665.92, 16,099.02 and 7,476.60 is: 10,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.92 : 16,099.02 = 7,476.60 : x
  2. Step 2: Convert to fraction form
    11,665.92/16,099.02 = 7,476.60/x
  3. Step 3: Cross multiply
    11,665.92x = 16,099.02 × 7,476.60
  4. Step 4: Simplify right side
    11,665.92x = 120,365,932.93
  5. Step 5: Solve for x
    x = 120,365,932.93/11,665.92
  6. Step 6: Final answer
    x = 10,317.74

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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.