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Finding the Fourth Proportional to 11,639.97, 17,460.09 and 6,456.78

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Solution

The fourth proportional to 11,639.97, 17,460.09 and 6,456.78 is: 9,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.97 : 17,460.09 = 6,456.78 : x
  2. Step 2: Convert to fraction form
    11,639.97/17,460.09 = 6,456.78/x
  3. Step 3: Cross multiply
    11,639.97x = 17,460.09 × 6,456.78
  4. Step 4: Simplify right side
    11,639.97x = 112,735,959.91
  5. Step 5: Solve for x
    x = 112,735,959.91/11,639.97
  6. Step 6: Final answer
    x = 9,685.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.