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Finding the Fourth Proportional to 10,447.84, 14,418.30 and 5,732.29

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Solution

The fourth proportional to 10,447.84, 14,418.30 and 5,732.29 is: 7,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.84 : 14,418.30 = 5,732.29 : x
  2. Step 2: Convert to fraction form
    10,447.84/14,418.30 = 5,732.29/x
  3. Step 3: Cross multiply
    10,447.84x = 14,418.30 × 5,732.29
  4. Step 4: Simplify right side
    10,447.84x = 82,649,876.91
  5. Step 5: Solve for x
    x = 82,649,876.91/10,447.84
  6. Step 6: Final answer
    x = 7,910.71

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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.