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Finding the Fourth Proportional to 10,896.21, 16,344.90 and 3,500.10

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Solution

The fourth proportional to 10,896.21, 16,344.90 and 3,500.10 is: 5,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.21 : 16,344.90 = 3,500.10 : x
  2. Step 2: Convert to fraction form
    10,896.21/16,344.90 = 3,500.10/x
  3. Step 3: Cross multiply
    10,896.21x = 16,344.90 × 3,500.10
  4. Step 4: Simplify right side
    10,896.21x = 57,208,784.49
  5. Step 5: Solve for x
    x = 57,208,784.49/10,896.21
  6. Step 6: Final answer
    x = 5,250.34

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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.