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Finding the Fourth Proportional to 10,731.92, 14,809.30 and 5,952.11

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Solution

The fourth proportional to 10,731.92, 14,809.30 and 5,952.11 is: 8,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.92 : 14,809.30 = 5,952.11 : x
  2. Step 2: Convert to fraction form
    10,731.92/14,809.30 = 5,952.11/x
  3. Step 3: Cross multiply
    10,731.92x = 14,809.30 × 5,952.11
  4. Step 4: Simplify right side
    10,731.92x = 88,146,493.70
  5. Step 5: Solve for x
    x = 88,146,493.70/10,731.92
  6. Step 6: Final answer
    x = 8,213.49

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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.