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Finding the Fourth Proportional to 11,137.30, 16,744.29 and 8,961.28

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Solution

The fourth proportional to 11,137.30, 16,744.29 and 8,961.28 is: 13,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.30 : 16,744.29 = 8,961.28 : x
  2. Step 2: Convert to fraction form
    11,137.30/16,744.29 = 8,961.28/x
  3. Step 3: Cross multiply
    11,137.30x = 16,744.29 × 8,961.28
  4. Step 4: Simplify right side
    11,137.30x = 150,050,271.09
  5. Step 5: Solve for x
    x = 150,050,271.09/11,137.30
  6. Step 6: Final answer
    x = 13,472.77

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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.