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Finding the Fourth Proportional to 11,741.87, 16,206.17 and 10,796.16

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Solution

The fourth proportional to 11,741.87, 16,206.17 and 10,796.16 is: 14,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.87 : 16,206.17 = 10,796.16 : x
  2. Step 2: Convert to fraction form
    11,741.87/16,206.17 = 10,796.16/x
  3. Step 3: Cross multiply
    11,741.87x = 16,206.17 × 10,796.16
  4. Step 4: Simplify right side
    11,741.87x = 174,964,418.67
  5. Step 5: Solve for x
    x = 174,964,418.67/11,741.87
  6. Step 6: Final answer
    x = 14,900.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.