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Finding the Fourth Proportional to 10,685.67, 16,028.74 and 3,665.66

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Solution

The fourth proportional to 10,685.67, 16,028.74 and 3,665.66 is: 5,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.67 : 16,028.74 = 3,665.66 : x
  2. Step 2: Convert to fraction form
    10,685.67/16,028.74 = 3,665.66/x
  3. Step 3: Cross multiply
    10,685.67x = 16,028.74 × 3,665.66
  4. Step 4: Simplify right side
    10,685.67x = 58,755,814.89
  5. Step 5: Solve for x
    x = 58,755,814.89/10,685.67
  6. Step 6: Final answer
    x = 5,498.56

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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.