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Finding the Fourth Proportional to 8,017.64, 12,029.06 and 3,857.11

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Solution

The fourth proportional to 8,017.64, 12,029.06 and 3,857.11 is: 5,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.64 : 12,029.06 = 3,857.11 : x
  2. Step 2: Convert to fraction form
    8,017.64/12,029.06 = 3,857.11/x
  3. Step 3: Cross multiply
    8,017.64x = 12,029.06 × 3,857.11
  4. Step 4: Simplify right side
    8,017.64x = 46,397,388.04
  5. Step 5: Solve for x
    x = 46,397,388.04/8,017.64
  6. Step 6: Final answer
    x = 5,786.91

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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.