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Finding the Fourth Proportional to 12,651.24, 17,460.90 and 7,616.28

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Solution

The fourth proportional to 12,651.24, 17,460.90 and 7,616.28 is: 10,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.24 : 17,460.90 = 7,616.28 : x
  2. Step 2: Convert to fraction form
    12,651.24/17,460.90 = 7,616.28/x
  3. Step 3: Cross multiply
    12,651.24x = 17,460.90 × 7,616.28
  4. Step 4: Simplify right side
    12,651.24x = 132,987,103.45
  5. Step 5: Solve for x
    x = 132,987,103.45/12,651.24
  6. Step 6: Final answer
    x = 10,511.78

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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.