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Finding the Fourth Proportional to 10,671.49, 14,722.58 and 6,194.48

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Solution

The fourth proportional to 10,671.49, 14,722.58 and 6,194.48 is: 8,546.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.49 : 14,722.58 = 6,194.48 : x
  2. Step 2: Convert to fraction form
    10,671.49/14,722.58 = 6,194.48/x
  3. Step 3: Cross multiply
    10,671.49x = 14,722.58 × 6,194.48
  4. Step 4: Simplify right side
    10,671.49x = 91,198,696.39
  5. Step 5: Solve for x
    x = 91,198,696.39/10,671.49
  6. Step 6: Final answer
    x = 8,546.02

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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.