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Finding the Fourth Proportional to 8,282.82, 11,432.43 and 5,765.34

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Solution

The fourth proportional to 8,282.82, 11,432.43 and 5,765.34 is: 7,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.82 : 11,432.43 = 5,765.34 : x
  2. Step 2: Convert to fraction form
    8,282.82/11,432.43 = 5,765.34/x
  3. Step 3: Cross multiply
    8,282.82x = 11,432.43 × 5,765.34
  4. Step 4: Simplify right side
    8,282.82x = 65,911,845.98
  5. Step 5: Solve for x
    x = 65,911,845.98/8,282.82
  6. Step 6: Final answer
    x = 7,957.66

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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.