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Finding the Fourth Proportional to 11,408.86, 15,744.25 and 6,373.07

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Solution

The fourth proportional to 11,408.86, 15,744.25 and 6,373.07 is: 8,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.86 : 15,744.25 = 6,373.07 : x
  2. Step 2: Convert to fraction form
    11,408.86/15,744.25 = 6,373.07/x
  3. Step 3: Cross multiply
    11,408.86x = 15,744.25 × 6,373.07
  4. Step 4: Simplify right side
    11,408.86x = 100,339,207.35
  5. Step 5: Solve for x
    x = 100,339,207.35/11,408.86
  6. Step 6: Final answer
    x = 8,794.85

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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.