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Finding the Fourth Proportional to 10,728.10, 14,805.21 and 6,012.28

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Solution

The fourth proportional to 10,728.10, 14,805.21 and 6,012.28 is: 8,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.10 : 14,805.21 = 6,012.28 : x
  2. Step 2: Convert to fraction form
    10,728.10/14,805.21 = 6,012.28/x
  3. Step 3: Cross multiply
    10,728.10x = 14,805.21 × 6,012.28
  4. Step 4: Simplify right side
    10,728.10x = 89,013,067.98
  5. Step 5: Solve for x
    x = 89,013,067.98/10,728.10
  6. Step 6: Final answer
    x = 8,297.19

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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.