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Finding the Fourth Proportional to 11,855.28, 16,363.08 and 7,382.46

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Solution

The fourth proportional to 11,855.28, 16,363.08 and 7,382.46 is: 10,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.28 : 16,363.08 = 7,382.46 : x
  2. Step 2: Convert to fraction form
    11,855.28/16,363.08 = 7,382.46/x
  3. Step 3: Cross multiply
    11,855.28x = 16,363.08 × 7,382.46
  4. Step 4: Simplify right side
    11,855.28x = 120,799,783.58
  5. Step 5: Solve for x
    x = 120,799,783.58/11,855.28
  6. Step 6: Final answer
    x = 10,189.53

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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.