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Finding the Fourth Proportional to 8,009.82, 12,022.29 and 4,264.38

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Solution

The fourth proportional to 8,009.82, 12,022.29 and 4,264.38 is: 6,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.82 : 12,022.29 = 4,264.38 : x
  2. Step 2: Convert to fraction form
    8,009.82/12,022.29 = 4,264.38/x
  3. Step 3: Cross multiply
    8,009.82x = 12,022.29 × 4,264.38
  4. Step 4: Simplify right side
    8,009.82x = 51,267,613.03
  5. Step 5: Solve for x
    x = 51,267,613.03/8,009.82
  6. Step 6: Final answer
    x = 6,400.59

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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.