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Finding the Fourth Proportional to 10,731.63, 16,091.82 and 4,490.49

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Solution

The fourth proportional to 10,731.63, 16,091.82 and 4,490.49 is: 6,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.63 : 16,091.82 = 4,490.49 : x
  2. Step 2: Convert to fraction form
    10,731.63/16,091.82 = 4,490.49/x
  3. Step 3: Cross multiply
    10,731.63x = 16,091.82 × 4,490.49
  4. Step 4: Simplify right side
    10,731.63x = 72,260,156.79
  5. Step 5: Solve for x
    x = 72,260,156.79/10,731.63
  6. Step 6: Final answer
    x = 6,733.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.