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Finding the Fourth Proportional to 10,883.67, 16,325.51 and 3,091.47

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Solution

The fourth proportional to 10,883.67, 16,325.51 and 3,091.47 is: 4,637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.67 : 16,325.51 = 3,091.47 : x
  2. Step 2: Convert to fraction form
    10,883.67/16,325.51 = 3,091.47/x
  3. Step 3: Cross multiply
    10,883.67x = 16,325.51 × 3,091.47
  4. Step 4: Simplify right side
    10,883.67x = 50,469,808.94
  5. Step 5: Solve for x
    x = 50,469,808.94/10,883.67
  6. Step 6: Final answer
    x = 4,637.21

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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.