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Finding the Fourth Proportional to 11,101.57, 16,651.90 and 6,168.07

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Solution

The fourth proportional to 11,101.57, 16,651.90 and 6,168.07 is: 9,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,101.57 : 16,651.90 = 6,168.07 : x
  2. Step 2: Convert to fraction form
    11,101.57/16,651.90 = 6,168.07/x
  3. Step 3: Cross multiply
    11,101.57x = 16,651.90 × 6,168.07
  4. Step 4: Simplify right side
    11,101.57x = 102,709,970.73
  5. Step 5: Solve for x
    x = 102,709,970.73/11,101.57
  6. Step 6: Final answer
    x = 9,251.84

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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.