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Finding the Fourth Proportional to 10,996.29, 16,494.44 and 9,511.10

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Solution

The fourth proportional to 10,996.29, 16,494.44 and 9,511.10 is: 14,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.29 : 16,494.44 = 9,511.10 : x
  2. Step 2: Convert to fraction form
    10,996.29/16,494.44 = 9,511.10/x
  3. Step 3: Cross multiply
    10,996.29x = 16,494.44 × 9,511.10
  4. Step 4: Simplify right side
    10,996.29x = 156,880,270.80
  5. Step 5: Solve for x
    x = 156,880,270.80/10,996.29
  6. Step 6: Final answer
    x = 14,266.65

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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.