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Finding the Fourth Proportional to 12,044.14, 16,626.26 and 7,741.78

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Solution

The fourth proportional to 12,044.14, 16,626.26 and 7,741.78 is: 10,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,044.14 : 16,626.26 = 7,741.78 : x
  2. Step 2: Convert to fraction form
    12,044.14/16,626.26 = 7,741.78/x
  3. Step 3: Cross multiply
    12,044.14x = 16,626.26 × 7,741.78
  4. Step 4: Simplify right side
    12,044.14x = 128,716,847.14
  5. Step 5: Solve for x
    x = 128,716,847.14/12,044.14
  6. Step 6: Final answer
    x = 10,687.09

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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.