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Finding the Fourth Proportional to 11,238.10, 16,857.15 and 7,082.80

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Solution

The fourth proportional to 11,238.10, 16,857.15 and 7,082.80 is: 10,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.10 : 16,857.15 = 7,082.80 : x
  2. Step 2: Convert to fraction form
    11,238.10/16,857.15 = 7,082.80/x
  3. Step 3: Cross multiply
    11,238.10x = 16,857.15 × 7,082.80
  4. Step 4: Simplify right side
    11,238.10x = 119,395,822.02
  5. Step 5: Solve for x
    x = 119,395,822.02/11,238.10
  6. Step 6: Final answer
    x = 10,624.20

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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.