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Finding the Fourth Proportional to 11,408.10, 15,742.98 and 6,372

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Solution

The fourth proportional to 11,408.10, 15,742.98 and 6,372 is: 8,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.10 : 15,742.98 = 6,372 : x
  2. Step 2: Convert to fraction form
    11,408.10/15,742.98 = 6,372/x
  3. Step 3: Cross multiply
    11,408.10x = 15,742.98 × 6,372
  4. Step 4: Simplify right side
    11,408.10x = 100,314,268.56
  5. Step 5: Solve for x
    x = 100,314,268.56/11,408.10
  6. Step 6: Final answer
    x = 8,793.25

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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.