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Finding the Fourth Proportional to 11,057.13, 16,585.65 and 9,105.21

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Solution

The fourth proportional to 11,057.13, 16,585.65 and 9,105.21 is: 13,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.13 : 16,585.65 = 9,105.21 : x
  2. Step 2: Convert to fraction form
    11,057.13/16,585.65 = 9,105.21/x
  3. Step 3: Cross multiply
    11,057.13x = 16,585.65 × 9,105.21
  4. Step 4: Simplify right side
    11,057.13x = 151,015,826.24
  5. Step 5: Solve for x
    x = 151,015,826.24/11,057.13
  6. Step 6: Final answer
    x = 13,657.78

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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.