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Finding the Fourth Proportional to 11,952.89, 16,493.39 and 6,646.69

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Solution

The fourth proportional to 11,952.89, 16,493.39 and 6,646.69 is: 9,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.89 : 16,493.39 = 6,646.69 : x
  2. Step 2: Convert to fraction form
    11,952.89/16,493.39 = 6,646.69/x
  3. Step 3: Cross multiply
    11,952.89x = 16,493.39 × 6,646.69
  4. Step 4: Simplify right side
    11,952.89x = 109,626,334.68
  5. Step 5: Solve for x
    x = 109,626,334.68/11,952.89
  6. Step 6: Final answer
    x = 9,171.53

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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.