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Finding the Fourth Proportional to 11,646.75, 16,073.73 and 6,612.33

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Solution

The fourth proportional to 11,646.75, 16,073.73 and 6,612.33 is: 9,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.75 : 16,073.73 = 6,612.33 : x
  2. Step 2: Convert to fraction form
    11,646.75/16,073.73 = 6,612.33/x
  3. Step 3: Cross multiply
    11,646.75x = 16,073.73 × 6,612.33
  4. Step 4: Simplify right side
    11,646.75x = 106,284,807.09
  5. Step 5: Solve for x
    x = 106,284,807.09/11,646.75
  6. Step 6: Final answer
    x = 9,125.71

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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.