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Finding the Fourth Proportional to 10,408.38, 15,612.09 and 3,834.12

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Solution

The fourth proportional to 10,408.38, 15,612.09 and 3,834.12 is: 5,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.38 : 15,612.09 = 3,834.12 : x
  2. Step 2: Convert to fraction form
    10,408.38/15,612.09 = 3,834.12/x
  3. Step 3: Cross multiply
    10,408.38x = 15,612.09 × 3,834.12
  4. Step 4: Simplify right side
    10,408.38x = 59,858,626.51
  5. Step 5: Solve for x
    x = 59,858,626.51/10,408.38
  6. Step 6: Final answer
    x = 5,751.00

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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.