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Finding the Fourth Proportional to 10,971.90, 16,459.20 and 3,950.82

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Solution

The fourth proportional to 10,971.90, 16,459.20 and 3,950.82 is: 5,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.90 : 16,459.20 = 3,950.82 : x
  2. Step 2: Convert to fraction form
    10,971.90/16,459.20 = 3,950.82/x
  3. Step 3: Cross multiply
    10,971.90x = 16,459.20 × 3,950.82
  4. Step 4: Simplify right side
    10,971.90x = 65,027,336.54
  5. Step 5: Solve for x
    x = 65,027,336.54/10,971.90
  6. Step 6: Final answer
    x = 5,926.72

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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.