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Finding the Fourth Proportional to 11,750.81, 16,213.28 and 6,646.41

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Solution

The fourth proportional to 11,750.81, 16,213.28 and 6,646.41 is: 9,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.81 : 16,213.28 = 6,646.41 : x
  2. Step 2: Convert to fraction form
    11,750.81/16,213.28 = 6,646.41/x
  3. Step 3: Cross multiply
    11,750.81x = 16,213.28 × 6,646.41
  4. Step 4: Simplify right side
    11,750.81x = 107,760,073.09
  5. Step 5: Solve for x
    x = 107,760,073.09/11,750.81
  6. Step 6: Final answer
    x = 9,170.44

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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.