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Finding the Fourth Proportional to 10,489.34, 15,731.49 and 3,091.80

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Solution

The fourth proportional to 10,489.34, 15,731.49 and 3,091.80 is: 4,636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.34 : 15,731.49 = 3,091.80 : x
  2. Step 2: Convert to fraction form
    10,489.34/15,731.49 = 3,091.80/x
  3. Step 3: Cross multiply
    10,489.34x = 15,731.49 × 3,091.80
  4. Step 4: Simplify right side
    10,489.34x = 48,638,620.78
  5. Step 5: Solve for x
    x = 48,638,620.78/10,489.34
  6. Step 6: Final answer
    x = 4,636.96

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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.