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Finding the Fourth Proportional to 11,408.68, 15,744.24 and 6,372.88

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Solution

The fourth proportional to 11,408.68, 15,744.24 and 6,372.88 is: 8,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.68 : 15,744.24 = 6,372.88 : x
  2. Step 2: Convert to fraction form
    11,408.68/15,744.24 = 6,372.88/x
  3. Step 3: Cross multiply
    11,408.68x = 15,744.24 × 6,372.88
  4. Step 4: Simplify right side
    11,408.68x = 100,336,152.21
  5. Step 5: Solve for x
    x = 100,336,152.21/11,408.68
  6. Step 6: Final answer
    x = 8,794.72

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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.