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Finding the Fourth Proportional to 8,464.34, 11,680.82 and 4,687.42

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Solution

The fourth proportional to 8,464.34, 11,680.82 and 4,687.42 is: 6,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.34 : 11,680.82 = 4,687.42 : x
  2. Step 2: Convert to fraction form
    8,464.34/11,680.82 = 4,687.42/x
  3. Step 3: Cross multiply
    8,464.34x = 11,680.82 × 4,687.42
  4. Step 4: Simplify right side
    8,464.34x = 54,752,885.85
  5. Step 5: Solve for x
    x = 54,752,885.85/8,464.34
  6. Step 6: Final answer
    x = 6,468.66

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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.