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Finding the Fourth Proportional to 12,727, 17,563.27 and 7,138

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Solution

The fourth proportional to 12,727, 17,563.27 and 7,138 is: 9,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727 : 17,563.27 = 7,138 : x
  2. Step 2: Convert to fraction form
    12,727/17,563.27 = 7,138/x
  3. Step 3: Cross multiply
    12,727x = 17,563.27 × 7,138
  4. Step 4: Simplify right side
    12,727x = 125,366,621.26
  5. Step 5: Solve for x
    x = 125,366,621.26/12,727
  6. Step 6: Final answer
    x = 9,850.45

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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.