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Finding the Fourth Proportional to 6,009.80, 8,299.20 and 5,682.56

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Solution

The fourth proportional to 6,009.80, 8,299.20 and 5,682.56 is: 7,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.80 : 8,299.20 = 5,682.56 : x
  2. Step 2: Convert to fraction form
    6,009.80/8,299.20 = 5,682.56/x
  3. Step 3: Cross multiply
    6,009.80x = 8,299.20 × 5,682.56
  4. Step 4: Simplify right side
    6,009.80x = 47,160,701.95
  5. Step 5: Solve for x
    x = 47,160,701.95/6,009.80
  6. Step 6: Final answer
    x = 7,847.30

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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.