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Finding the Fourth Proportional to 8,490.84, 12,736.26 and 2,944.19

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Solution

The fourth proportional to 8,490.84, 12,736.26 and 2,944.19 is: 4,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.84 : 12,736.26 = 2,944.19 : x
  2. Step 2: Convert to fraction form
    8,490.84/12,736.26 = 2,944.19/x
  3. Step 3: Cross multiply
    8,490.84x = 12,736.26 × 2,944.19
  4. Step 4: Simplify right side
    8,490.84x = 37,497,969.33
  5. Step 5: Solve for x
    x = 37,497,969.33/8,490.84
  6. Step 6: Final answer
    x = 4,416.29

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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.