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Finding the Fourth Proportional to 10,882.10, 16,359.60 and 9,278.30

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Solution

The fourth proportional to 10,882.10, 16,359.60 and 9,278.30 is: 13,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.10 : 16,359.60 = 9,278.30 : x
  2. Step 2: Convert to fraction form
    10,882.10/16,359.60 = 9,278.30/x
  3. Step 3: Cross multiply
    10,882.10x = 16,359.60 × 9,278.30
  4. Step 4: Simplify right side
    10,882.10x = 151,789,276.68
  5. Step 5: Solve for x
    x = 151,789,276.68/10,882.10
  6. Step 6: Final answer
    x = 13,948.53

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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.