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Finding the Fourth Proportional to 10,996.57, 16,496.48 and 3,977.11

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Solution

The fourth proportional to 10,996.57, 16,496.48 and 3,977.11 is: 5,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.57 : 16,496.48 = 3,977.11 : x
  2. Step 2: Convert to fraction form
    10,996.57/16,496.48 = 3,977.11/x
  3. Step 3: Cross multiply
    10,996.57x = 16,496.48 × 3,977.11
  4. Step 4: Simplify right side
    10,996.57x = 65,608,315.57
  5. Step 5: Solve for x
    x = 65,608,315.57/10,996.57
  6. Step 6: Final answer
    x = 5,966.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.