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Finding the Fourth Proportional to 10,731.67, 14,809.31 and 5,951.82

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Solution

The fourth proportional to 10,731.67, 14,809.31 and 5,951.82 is: 8,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.67 : 14,809.31 = 5,951.82 : x
  2. Step 2: Convert to fraction form
    10,731.67/14,809.31 = 5,951.82/x
  3. Step 3: Cross multiply
    10,731.67x = 14,809.31 × 5,951.82
  4. Step 4: Simplify right side
    10,731.67x = 88,142,347.44
  5. Step 5: Solve for x
    x = 88,142,347.44/10,731.67
  6. Step 6: Final answer
    x = 8,213.29

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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.