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Finding the Fourth Proportional to 11,214.42, 15,475.11 and 6,676.86

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Solution

The fourth proportional to 11,214.42, 15,475.11 and 6,676.86 is: 9,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.42 : 15,475.11 = 6,676.86 : x
  2. Step 2: Convert to fraction form
    11,214.42/15,475.11 = 6,676.86/x
  3. Step 3: Cross multiply
    11,214.42x = 15,475.11 × 6,676.86
  4. Step 4: Simplify right side
    11,214.42x = 103,325,142.95
  5. Step 5: Solve for x
    x = 103,325,142.95/11,214.42
  6. Step 6: Final answer
    x = 9,213.60

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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.