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Finding the Fourth Proportional to 10,666.82, 16,000.20 and 3,271.10

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Solution

The fourth proportional to 10,666.82, 16,000.20 and 3,271.10 is: 4,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.82 : 16,000.20 = 3,271.10 : x
  2. Step 2: Convert to fraction form
    10,666.82/16,000.20 = 3,271.10/x
  3. Step 3: Cross multiply
    10,666.82x = 16,000.20 × 3,271.10
  4. Step 4: Simplify right side
    10,666.82x = 52,338,254.22
  5. Step 5: Solve for x
    x = 52,338,254.22/10,666.82
  6. Step 6: Final answer
    x = 4,906.64

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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.