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Finding the Fourth Proportional to 8,427.87, 11,630.55 and 4,651.20

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Solution

The fourth proportional to 8,427.87, 11,630.55 and 4,651.20 is: 6,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.87 : 11,630.55 = 4,651.20 : x
  2. Step 2: Convert to fraction form
    8,427.87/11,630.55 = 4,651.20/x
  3. Step 3: Cross multiply
    8,427.87x = 11,630.55 × 4,651.20
  4. Step 4: Simplify right side
    8,427.87x = 54,096,014.16
  5. Step 5: Solve for x
    x = 54,096,014.16/8,427.87
  6. Step 6: Final answer
    x = 6,418.71

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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.