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Finding the Fourth Proportional to 6,412.62, 8,851.84 and 5,512.74

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Solution

The fourth proportional to 6,412.62, 8,851.84 and 5,512.74 is: 7,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.62 : 8,851.84 = 5,512.74 : x
  2. Step 2: Convert to fraction form
    6,412.62/8,851.84 = 5,512.74/x
  3. Step 3: Cross multiply
    6,412.62x = 8,851.84 × 5,512.74
  4. Step 4: Simplify right side
    6,412.62x = 48,797,892.44
  5. Step 5: Solve for x
    x = 48,797,892.44/6,412.62
  6. Step 6: Final answer
    x = 7,609.67

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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.