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Finding the Fourth Proportional to 10,321.73, 14,244.17 and 5,845.46

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Solution

The fourth proportional to 10,321.73, 14,244.17 and 5,845.46 is: 8,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.73 : 14,244.17 = 5,845.46 : x
  2. Step 2: Convert to fraction form
    10,321.73/14,244.17 = 5,845.46/x
  3. Step 3: Cross multiply
    10,321.73x = 14,244.17 × 5,845.46
  4. Step 4: Simplify right side
    10,321.73x = 83,263,725.97
  5. Step 5: Solve for x
    x = 83,263,725.97/10,321.73
  6. Step 6: Final answer
    x = 8,066.84

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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.