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Finding the Fourth Proportional to 10,448.73, 14,418.68 and 5,732.64

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Solution

The fourth proportional to 10,448.73, 14,418.68 and 5,732.64 is: 7,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.73 : 14,418.68 = 5,732.64 : x
  2. Step 2: Convert to fraction form
    10,448.73/14,418.68 = 5,732.64/x
  3. Step 3: Cross multiply
    10,448.73x = 14,418.68 × 5,732.64
  4. Step 4: Simplify right side
    10,448.73x = 82,657,073.05
  5. Step 5: Solve for x
    x = 82,657,073.05/10,448.73
  6. Step 6: Final answer
    x = 7,910.73

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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.