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Finding the Fourth Proportional to 8,490.97, 12,736.46 and 2,647.57

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Solution

The fourth proportional to 8,490.97, 12,736.46 and 2,647.57 is: 3,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.97 : 12,736.46 = 2,647.57 : x
  2. Step 2: Convert to fraction form
    8,490.97/12,736.46 = 2,647.57/x
  3. Step 3: Cross multiply
    8,490.97x = 12,736.46 × 2,647.57
  4. Step 4: Simplify right side
    8,490.97x = 33,720,669.40
  5. Step 5: Solve for x
    x = 33,720,669.40/8,490.97
  6. Step 6: Final answer
    x = 3,971.36

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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.