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Finding the Fourth Proportional to 10,989.28, 16,443.09 and 6,549.33

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Solution

The fourth proportional to 10,989.28, 16,443.09 and 6,549.33 is: 9,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.28 : 16,443.09 = 6,549.33 : x
  2. Step 2: Convert to fraction form
    10,989.28/16,443.09 = 6,549.33/x
  3. Step 3: Cross multiply
    10,989.28x = 16,443.09 × 6,549.33
  4. Step 4: Simplify right side
    10,989.28x = 107,691,222.63
  5. Step 5: Solve for x
    x = 107,691,222.63/10,989.28
  6. Step 6: Final answer
    x = 9,799.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.