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Finding the Fourth Proportional to 11,408.56, 15,742.14 and 6,372.16

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Solution

The fourth proportional to 11,408.56, 15,742.14 and 6,372.16 is: 8,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.56 : 15,742.14 = 6,372.16 : x
  2. Step 2: Convert to fraction form
    11,408.56/15,742.14 = 6,372.16/x
  3. Step 3: Cross multiply
    11,408.56x = 15,742.14 × 6,372.16
  4. Step 4: Simplify right side
    11,408.56x = 100,311,434.82
  5. Step 5: Solve for x
    x = 100,311,434.82/11,408.56
  6. Step 6: Final answer
    x = 8,792.65

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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.