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Finding the Fourth Proportional to 10,744, 16,123.20 and 4,589.44

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Solution

The fourth proportional to 10,744, 16,123.20 and 4,589.44 is: 6,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744 : 16,123.20 = 4,589.44 : x
  2. Step 2: Convert to fraction form
    10,744/16,123.20 = 4,589.44/x
  3. Step 3: Cross multiply
    10,744x = 16,123.20 × 4,589.44
  4. Step 4: Simplify right side
    10,744x = 73,996,459.01
  5. Step 5: Solve for x
    x = 73,996,459.01/10,744
  6. Step 6: Final answer
    x = 6,887.24

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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.