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Finding the Fourth Proportional to 8,241.72, 11,374.67 and 4,657.42

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Solution

The fourth proportional to 8,241.72, 11,374.67 and 4,657.42 is: 6,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.72 : 11,374.67 = 4,657.42 : x
  2. Step 2: Convert to fraction form
    8,241.72/11,374.67 = 4,657.42/x
  3. Step 3: Cross multiply
    8,241.72x = 11,374.67 × 4,657.42
  4. Step 4: Simplify right side
    8,241.72x = 52,976,535.39
  5. Step 5: Solve for x
    x = 52,976,535.39/8,241.72
  6. Step 6: Final answer
    x = 6,427.85

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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.