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Finding the Fourth Proportional to 12,776.27, 17,629.16 and 7,396.79

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Solution

The fourth proportional to 12,776.27, 17,629.16 and 7,396.79 is: 10,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.27 : 17,629.16 = 7,396.79 : x
  2. Step 2: Convert to fraction form
    12,776.27/17,629.16 = 7,396.79/x
  3. Step 3: Cross multiply
    12,776.27x = 17,629.16 × 7,396.79
  4. Step 4: Simplify right side
    12,776.27x = 130,399,069.27
  5. Step 5: Solve for x
    x = 130,399,069.27/12,776.27
  6. Step 6: Final answer
    x = 10,206.35

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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.