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Finding the Fourth Proportional to 11,408.16, 15,743.88 and 6,372.50

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Solution

The fourth proportional to 11,408.16, 15,743.88 and 6,372.50 is: 8,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.16 : 15,743.88 = 6,372.50 : x
  2. Step 2: Convert to fraction form
    11,408.16/15,743.88 = 6,372.50/x
  3. Step 3: Cross multiply
    11,408.16x = 15,743.88 × 6,372.50
  4. Step 4: Simplify right side
    11,408.16x = 100,327,796.58
  5. Step 5: Solve for x
    x = 100,327,796.58/11,408.16
  6. Step 6: Final answer
    x = 8,794.39

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Why These Related Problems?

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