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Finding the Fourth Proportional to 8,447.12, 11,654.17 and 4,907.42

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Solution

The fourth proportional to 8,447.12, 11,654.17 and 4,907.42 is: 6,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.12 : 11,654.17 = 4,907.42 : x
  2. Step 2: Convert to fraction form
    8,447.12/11,654.17 = 4,907.42/x
  3. Step 3: Cross multiply
    8,447.12x = 11,654.17 × 4,907.42
  4. Step 4: Simplify right side
    8,447.12x = 57,191,906.94
  5. Step 5: Solve for x
    x = 57,191,906.94/8,447.12
  6. Step 6: Final answer
    x = 6,770.58

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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.