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Finding the Fourth Proportional to 8,241.69, 11,374.35 and 4,705.43

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Solution

The fourth proportional to 8,241.69, 11,374.35 and 4,705.43 is: 6,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.69 : 11,374.35 = 4,705.43 : x
  2. Step 2: Convert to fraction form
    8,241.69/11,374.35 = 4,705.43/x
  3. Step 3: Cross multiply
    8,241.69x = 11,374.35 × 4,705.43
  4. Step 4: Simplify right side
    8,241.69x = 53,521,236.16
  5. Step 5: Solve for x
    x = 53,521,236.16/8,241.69
  6. Step 6: Final answer
    x = 6,493.96

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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.