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Finding the Fourth Proportional to 8,414.80, 11,615.34 and 5,770.96

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Solution

The fourth proportional to 8,414.80, 11,615.34 and 5,770.96 is: 7,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.80 : 11,615.34 = 5,770.96 : x
  2. Step 2: Convert to fraction form
    8,414.80/11,615.34 = 5,770.96/x
  3. Step 3: Cross multiply
    8,414.80x = 11,615.34 × 5,770.96
  4. Step 4: Simplify right side
    8,414.80x = 67,031,662.53
  5. Step 5: Solve for x
    x = 67,031,662.53/8,414.80
  6. Step 6: Final answer
    x = 7,965.92

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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.