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Finding the Fourth Proportional to 8,012.82, 11,998.20 and 5,660.10

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Solution

The fourth proportional to 8,012.82, 11,998.20 and 5,660.10 is: 8,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.82 : 11,998.20 = 5,660.10 : x
  2. Step 2: Convert to fraction form
    8,012.82/11,998.20 = 5,660.10/x
  3. Step 3: Cross multiply
    8,012.82x = 11,998.20 × 5,660.10
  4. Step 4: Simplify right side
    8,012.82x = 67,911,011.82
  5. Step 5: Solve for x
    x = 67,911,011.82/8,012.82
  6. Step 6: Final answer
    x = 8,475.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.