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Finding the Fourth Proportional to 12,846.28, 17,728.18 and 7,257.16

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Solution

The fourth proportional to 12,846.28, 17,728.18 and 7,257.16 is: 10,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.28 : 17,728.18 = 7,257.16 : x
  2. Step 2: Convert to fraction form
    12,846.28/17,728.18 = 7,257.16/x
  3. Step 3: Cross multiply
    12,846.28x = 17,728.18 × 7,257.16
  4. Step 4: Simplify right side
    12,846.28x = 128,656,238.77
  5. Step 5: Solve for x
    x = 128,656,238.77/12,846.28
  6. Step 6: Final answer
    x = 10,015.06

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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.